Exercise 13.2 Archives

Exercise 13.2

In a match between A and B: \[\left( \mathbf{i} \right)\] the probability of winning of A is \[\mathbf{0}.\mathbf{83}\]. What is the probability of winning of B? \[\left( \mathbf{ii} \right)\] the probability of losing the match is \[\mathbf{0}.\mathbf{49}\] for B. What is the probability of winning of A?

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: \[\left( i \right)\]We know that, The probability of winning of A \[+\]Probability of losing of A \[=\text{ }1\] And, Probability of losing of A \[=\] Probability of winning of B...

From a well shuffled deck of \[\mathbf{52}\] cards, one card is drawn. Find the probability that the card drawn is: \[\left( \mathbf{v} \right)\] a card with number less than \[\mathbf{8}\] \[\left( \mathbf{vi} \right)\] a card with number between \[\mathbf{2}\] and \[\mathbf{9}\]

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: \[\left( v \right)\] Numbers less than \[8\text{ }=\text{ }\left\{ \text{ }2,\text{ }3,\text{ }4,\text{ }5,\text{ }6,\text{ }7 \right\}\]\[\] Event of drawing a card with number less than...

From a well shuffled deck of \[\mathbf{52}\] cards, one card is drawn. Find the probability that the card drawn is: \[\left( \mathbf{iii} \right)\]a queen of black card \[\left( \mathbf{iv} \right)\]a card with number \[\mathbf{5}\text{ }\mathbf{or}\text{ }\mathbf{6}\]

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: \[\left( iii \right)\] Event of drawing a queen of black colour \[=\text{ }\left\{ Q\left( spade \right),\text{ }Q\left( club \right) \right\}\text{ }=\text{ }E\] So,\[~n\left( E...

From a well shuffled deck of \[\mathbf{52}\] cards, one card is drawn. Find the probability that the card drawn is: \[\left( \mathbf{i} \right)\] a face card \[\left( \mathbf{ii} \right)\] not a face card

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: We have, the total number of possible outcomes \[=\text{ }52\] So, \[n\left( S \right)\text{ }=\text{ }52\] \[\left( i \right)~\]No. of face cards in a deck of \[52\]cards \[=\text{...

A dice is thrown once. What is the probability of getting a number: \[\left( \mathbf{i} \right)\]greater than \[\mathbf{2}\]? \[\left( \mathbf{ii} \right)\] less than or equal to \[\mathbf{2}\]?

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: The number of possible outcomes when dice is thrown \[=\text{ }\left\{ 1,\text{ }2,\text{ }3,\text{ }4,\text{ }5,\text{ }6 \right\}\] So\[,\text{ }n\left( S \right)\text{ }=\text{ }6\]...

A bag contains \[\mathbf{3}\] red balls, \[\mathbf{4}\] blue balls and \[\mathbf{1}\] yellow ball, all the balls being identical in shape and size. If a ball is taken out of the bag without looking into it; find the probability that the ball is: \[\left( \mathbf{iii} \right)\]not yellow \[\left( \mathbf{iv} \right)\] neither yellow nor red

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: \[\left( iii \right)\] Probability of not drawing a yellow ball \[=\text{ }1\text{ }\] Probability of drawing a yellow ball Thus, probability of not drawing a yellow ball \[=\text{...

A bag contains \[\mathbf{3}\] red balls, \[\mathbf{4}\] blue balls and \[\mathbf{1}\] yellow ball, all the balls being identical in shape and size. If a ball is taken out of the bag without looking into it; find the probability that the ball is: \[\left( \mathbf{i} \right)\] yellow \[\left( \mathbf{ii} \right)\] red

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: The total number of balls in the bag \[=\text{ }3\text{ }+\text{ }4\text{ }+\text{ }1\text{ }=\text{ }8\] balls So, the number of possible outcomes \[=\text{ }8\text{ }=\text{ }n\left( S...

If two coins are tossed once, what is the probability of getting: \[\left( \mathbf{iii} \right)~\]both heads or both tails

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: \[\left( iii \right)\] E = event of getting both heads or both tails \[=\text{ }\left\{ HH,\text{ }TT \right\}\] \[n\left( E \right)\text{ }=\text{ }2\] Hence, probability of getting both...

If two coins are tossed once, what is the probability of getting: (i) both heads. (ii) at least one head.

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: We know that, when two coins are tossed together possible number of outcomes = {HH, TH, HT, TT} So, \[n\left( S \right)\text{ }=\text{ }4\] \[\left( i \right)\]E = event of getting both...

A pair of dice is thrown. Find the probability of getting a sum of \[\mathbf{10}\] or more, if \[\mathbf{5}\] appears on the first die

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: In throwing a dice, total possible outcomes \[=\text{ }\left\{ 1,\text{ }2,\text{ }3,\text{ }4,\text{ }5,\text{ }6 \right\}\] So\[,\text{ }n\left( S \right)\text{ }=\text{ }6\] For two...

A book contains \[\mathbf{85}\] pages. A page is chosen at random. What is the probability that the sum of the digits on the page is \[\mathbf{8}\]?

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: We know that, Number of pages in the book \[=\text{ }85\] Number of possible outcomes \[=\text{ }n\left( S \right)\text{ }=\text{ }85\] Out of \[85\]pages, pages that sum up to \[8\text{...

A die is thrown once. Find the probability of getting a number: \[(\mathbf{iii})\] less than \[\mathbf{8}\] \[\left( \mathbf{iv} \right)\] greater than \[\mathbf{6}\]

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: \[\left( iii \right)\] On a dice, numbers less than \[8\text{ }=\text{ }\left\{ 1,\text{ }2,\text{ }3,\text{ }4,\text{ }5,\text{ }6 \right\}\] So\[,\text{ }n\left( E \right)\text{ }=\text{...

A die is thrown once. Find the probability of getting a number: \[\left( \mathbf{i} \right)\] less than \[\mathbf{3}\] \[\left( \mathbf{ii} \right)\] greater than or equal to \[\mathbf{4}\]

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: We know that, In throwing a dice, total possible outcomes \[=\text{ }\left\{ 1,\text{ }2,\text{ }3,\text{ }4,\text{ }5,\text{ }6 \right\}\] So\[,\text{ }n\left( S \right)\text{ }=\text{...

From identical cards, numbered one card is drawn at random. Find the probability that the number on the card drawn is a multiple of: \[\left( \mathbf{iii} \right)\text{ }\mathbf{3}\text{ }\mathbf{and}\text{ }\mathbf{5}\] \[\left( \mathbf{iv} \right)\text{ }\mathbf{3}\text{ }\mathbf{or}\text{ }\mathbf{5}\]

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: \[\left( iii \right)\] From numbers \[1\text{ }to\text{ }25\], there is only one number which is multiple of \[3\text{ }and\text{ }5\text{ }i.e.~\left\{ 15 \right\}\] So, favorable number...

From \[\mathbf{25}\]identical cards, \[\text{ }\mathbf{1},\text{ }\mathbf{2},\text{ }\mathbf{3},\text{ }\mathbf{4},\text{ }\mathbf{5},\text{ }\ldots \ldots ,~\mathbf{24},\text{ }\mathbf{25}:\]numbered one card is drawn at random. Find the probability that the number on the card drawn is a multiple of\[\left( \mathbf{i} \right)\text{ }\mathbf{3}\] \[\left( \mathbf{ii} \right)\text{ }\mathbf{5}\]

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: We know that, there are \[25\] cards from which one card is drawn. So, the total number of elementary events \[=\text{ }n\left( S \right)\text{ }=\text{ }25\] \[\left( i \right)\]From...

$Hundred identical cards are numbered from \[\mathbf{1}\text{ }\mathbf{to}\text{ }\mathbf{100}\] The cards The cards are well shuffled and then a card is drawn. Find the probability that the number on card drawn is: \[\left( \mathbf{v} \right)\] less than \[\mathbf{48}\]

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: \[\left( v \right)\]From numbers \[1\text{ }to\text{ }100\], there are \[47\] numbers which are less than \[48\text{ }i.e.~\{1,\text{ }2,\text{ }\ldots \ldots \ldots ..,\]\[46,\text{...

Hundred identical cards are numbered from The cards The cards are well shuffled and then a card is drawn. Find the probability that the number on card drawn is: \[\left( \mathbf{iii} \right)\] between \[\mathbf{40}\] and \[\mathbf{60}\] \[\left( \mathbf{iv} \right)\] greater than \[\mathbf{85}\]

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: \[\left( iii \right)\] From numbers \[1\text{ }to\text{ }100\], there are \[19\] numbers which are between \[40\text{ }and\text{ }60\text{ }i.e.~\{41,\text{ }42\], \[43,\text{ }44,\text{...

Hundred identical cards are numbered from \[\mathbf{1}\text{ }\mathbf{to}\text{ }\mathbf{100}\]. The cards The cards are well shuffled and then a card is drawn. Find the probability that the number on card drawn is: \[\left( \mathbf{i} \right)\] a multiple of \[\mathbf{5}\] \[\left( \mathbf{ii} \right)\] a multiple of \[\mathbf{6}\]

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: We kwon that, there are \[100\] cards from which one card is drawn. Total number of elementary events \[=\text{ }n\left( S \right)\text{ }=\text{ }100\] \[\left( i \right)~\] From numbers...

multiple Nine cards (identical in all respects) are numbered . A card is selected from them at random. Find the probability that the card selected will be: \[\left( \mathbf{iii} \right)\] an even number and a multiple of \[\mathbf{3}\] \[\left( \mathbf{iv} \right)\] an even number or a of \[\mathbf{3}\]

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: \[\left( iii \right)\] From numbers \[2\text{ }to\text{ }10\], there is one number which is an even number as well as multiple of \[3\text{ }i.e.\text{ }6\] So, favorable number of events...

Nine cards (identical in all respects) are numbered \[\mathbf{2}\text{ }\mathbf{to}\text{ }\mathbf{10}\]. A card is selected from them at random. Find the probability that the card selected will be: \[\left( \mathbf{i} \right)\]an even number \[\left( \mathbf{ii} \right)\] a multiple of \[\mathbf{3}\]

CBSE, Class 10, Exercise 13.2, Selina, Statistics and Probability

Solution: We know that, there are totally \[9\] cards from which one card is drawn. Total number of elementary events \[=\text{ }n\left( S \right)\text{ }=\text{ }9\] \[\left( i \right)\] From...

In calculating the mean of grouped data, grouped in classes of equal width, we may use the formula where a is the assumed mean. a must be one of the mid-points of the classes. Is the last statement correct? Justify your answer.

CBSE, Class 10, Exercise 13.2, Maths, NCERT Exemplar, Statistics and Probability

No, the assertion isn't right. It isn't required that expected mean ought to be the mid – mark of the class span. a can be considered as any worth which is not difficult to work on it.

The median of an ungrouped data and the median calculated when the same data is grouped are always the same. Do you think that this is a correct statement? Give reason.

CBSE, Class 10, Exercise 13.2, Maths, NCERT Exemplar, Statistics and Probability

To ascertain the middle of an assembled information, the recipe utilized depends with the understanding that the perceptions in the classes are consistently disseminated or similarly divided....

Is it true to say that the mean, mode and median of grouped data will always be different? Justify your answer.

CBSE, Class 10, Exercise 13.2, Maths, NCERT Exemplar, Statistics and Probability

No, the upsides of mean, mode and middle of gathered information can be equivalent to well, it relies upon the sort of information given.

Will the median class and modal class of grouped data always be different? Justify your answer.

CBSE, Class 10, Exercise 13.2, Maths, NCERT Exemplar, Statistics and Probability

The middle class and modular class of assembled information isn't generally unique, it relies upon the information given.

In a family having three children, there may be no girl, one girl, two girls or three girls. So, the probability of each is ¼. Is this correct? Justify your answer.

CBSE, Class 10, Exercise 13.2, Maths, NCERT Exemplar, Statistics and Probability

No it isn't right that in a family having three youngsters, there might be no young lady, one young lady, two young ladies or three young ladies, the likelihood of each is ¼. . Let young men be B...

A game consists of spinning an arrow which comes to rest pointing at one of the regions (1, 2 or 3) (Fig. 13.1). Are the outcomes 1, 2 and 3 equally likely to occur? Give reasons.

CBSE, Class 10, Exercise 13.2, Maths, NCERT Exemplar, Statistics and Probability

All out no. of result = 360 \[p\left( 1 \right)=\text{ }90/360\text{ }=1/4\] \[p\left( 2 \right)\text{ }=\text{ }90/360\text{ }=\text{ }1/4\] \[p\left( 3 \right)\text{ }=\text{ }180/360\text{...

Apoorv throws two dice once and computes the product of the numbers appearing on the dice. Peehu throws one die and squares the number that appears on it. Who has the better chance of getting the number 36? Why?

CBSE, Class 10, Exercise 13.2, Maths, NCERT Exemplar, Statistics and Probability

Apoorv toss two dice on the double. Thus, the all out number of results = 36 Number of results for getting item 36 = 1(6×6) ∴ Probability for Apoorv = 1/36 Peehu tosses one kick the bucket, Thus,...

From a well shuffled deck of \[\mathbf{52}\] cards, one card is drawn. Find the probability that the card drawn is: \[\left( \mathbf{v} \right)\] a card with number less than \[\mathbf{8}\] \[\left( \mathbf{vi} \right)\] a card with number between \[\mathbf{2}\] and \[\mathbf{9}\]

From a well shuffled deck of \[\mathbf{52}\] cards, one card is drawn. Find the probability that the card drawn is: \[\left( \mathbf{iii} \right)\]a queen of black card \[\left( \mathbf{iv} \right)\]a card with number \[\mathbf{5}\text{ }\mathbf{or}\text{ }\mathbf{6}\]

From a well shuffled deck of \[\mathbf{52}\] cards, one card is drawn. Find the probability that the card drawn is: \[\left( \mathbf{i} \right)\] a face card \[\left( \mathbf{ii} \right)\] not a face card

A dice is thrown once. What is the probability of getting a number: \[\left( \mathbf{i} \right)\]greater than \[\mathbf{2}\]? \[\left( \mathbf{ii} \right)\] less than or equal to \[\mathbf{2}\]?

If two coins are tossed once, what is the probability of getting: \[\left( \mathbf{iii} \right)~\]both heads or both tails

If two coins are tossed once, what is the probability of getting: (i) both heads. (ii) at least one head.

A pair of dice is thrown. Find the probability of getting a sum of \[\mathbf{10}\] or more, if \[\mathbf{5}\] appears on the first die

A book contains \[\mathbf{85}\] pages. A page is chosen at random. What is the probability that the sum of the digits on the page is \[\mathbf{8}\]?

A die is thrown once. Find the probability of getting a number: \[(\mathbf{iii})\] less than \[\mathbf{8}\] \[\left( \mathbf{iv} \right)\] greater than \[\mathbf{6}\]

A die is thrown once. Find the probability of getting a number: \[\left( \mathbf{i} \right)\] less than \[\mathbf{3}\] \[\left( \mathbf{ii} \right)\] greater than or equal to \[\mathbf{4}\]

$Hundred identical cards are numbered from \[\mathbf{1}\text{ }\mathbf{to}\text{ }\mathbf{100}\] The cards The cards are well shuffled and then a card is drawn. Find the probability that the number on card drawn is: \[\left( \mathbf{v} \right)\] less than \[\mathbf{48}\]

Hundred identical cards are numbered from The cards The cards are well shuffled and then a card is drawn. Find the probability that the number on card drawn is: \[\left( \mathbf{iii} \right)\] between \[\mathbf{40}\] and \[\mathbf{60}\] \[\left( \mathbf{iv} \right)\] greater than \[\mathbf{85}\]

In calculating the mean of grouped data, grouped in classes of equal width, we may use the formula where a is the assumed mean. a must be one of the mid-points of the classes. Is the last statement correct? Justify your answer.

The median of an ungrouped data and the median calculated when the same data is grouped are always the same. Do you think that this is a correct statement? Give reason.

Is it true to say that the mean, mode and median of grouped data will always be different? Justify your answer.

Will the median class and modal class of grouped data always be different? Justify your answer.

In a family having three children, there may be no girl, one girl, two girls or three girls. So, the probability of each is ¼. Is this correct? Justify your answer.

A game consists of spinning an arrow which comes to rest pointing at one of the regions (1, 2 or 3) (Fig. 13.1). Are the outcomes 1, 2 and 3 equally likely to occur? Give reasons.

Apoorv throws two dice once and computes the product of the numbers appearing on the dice. Peehu throws one die and squares the number that appears on it. Who has the better chance of getting the number 36? Why?

Sign up now and study all subjects for free

Class

Syllabus

Question Papers

Social Media

Apps