(iii) Total number of black balls is $5$ As We know that, Probability = Number of favorable outcomes/ Total number of outcomes Therefore, the probability of getting a black ball $=5/12$ (iv) Total...
Given that A bag contains $3$ red, $5$ black and $4$ white balls to find: Probability of getting a (i) White ball (ii) Red ball (iii) Black ball (iv) Not red ball So, Total number of balls...
Given that A bag contains $10$ red and $8$ white balls To find: Probability that one ball is drawn at random and getting a white ball Now, Total number of balls $10+8=18$ Total number of white balls...
Given: Tickets are marked numbers from $1$ to $50$. And, one ticket is drawn at random. to find: Probability of getting a prime number on the drawn ticket Total number of tickets are $50$. Tickets...
Given that: A pair of dice is thrown To find: Probability that the total of numbers on the dice is greater than $10$ Let’s write the all possible events that can occur...
Given A pair of dice is thrown To find: Probability that the total of numbers on the dice is greater than $9$ Le t’s write the all possible events that can occur...
(xvii) Total number of heart cards is $13$ As We know that, Probability = Number of favorable outcomes/ Total number of outcomes Therefore, the probability of getting a heart card $=13/52=1/4$...
(xv) Total number of aces of spade is $1$ As We know that Probability = Number of favorable outcomes/ Total number of outcomes Therefore, the probability of getting an ace of spade $=1/52$ (xvi)...
(xiii) Total number of $7$ of club is $1$ only. As We know that, Probability = Number of favorable outcomes/ Total number of outcomes Therefore, the probability of getting a $7$ of club $=1/52$...
(xi) Total number of spades is $13$ As We know that, Probability = Number of favorable outcomes/ Total number of outcomes Therefore, the probability of getting a spade $=13/54=1/4$ (xii) Total...
(ix) Total number of card other than ace is $52–4=48$ As We know that, Probability = Number of favorable outcomes/ Total number of outcomes Therefore, the probability of getting other than ace...
(vii) Total number of ace cards are $4$ and king are $4$ Total number of cards that are an ace or a king $=4+4=8$ Thus, the total number of cards that are neither an ace nor a king is $52–8=44$ As...
(v) Total number of heart cards are $13$ and king are $4$ in which king of heart is also included. Now, the total number of cards that are a heart and a king $=13+3=16$ Thus, the total number of...
Given that A card is drawn at random from a pack of $52$ cards To Find: Probability of the following Total number of cards in a pack $=52$ (i) Number of cards which are black king $=2$ We know that...
(iii) now For getting at least one head and one tail the cases are THT, TTH, THH, HTT, HHT, and HTH. Thus, the total number of favorable outcomes i.e. at least one tail and one head is $6$ We know...
Given in the question Three coins are tossed simultaneously. When three coins are tossed then the outcome will be anyone of these combinations. TTT, THT, TTH, THH. HTT, HHT, HTH, HHH. Thus, the...
(v) A number greater than $5$ is $6$ only. So, the number of favorable outcomes is $1$. As We know that, Probability = Number of favorable outcomes/ Total number of outcomes Therefore, the...
(iii)by Multiplying of $2$ are $3$ are $2,3,4$ and $6$. Thus, the number of favorable outcomes is $4$ As We know that, Probability = Number of favorable outcomes/ Total number of outcomes So, the...
We have to give that A dice is thrown once To find: (i) The Probability of getting a prime number (ii) The Probability of getting $2$ or $4$ (iii)The Probability of getting a multiple of $2$ or $3$....
Given: Probability that it will rain tomorrow P(E) $=0.85$ We have to find that the Probability that it will not rain tomorrow P(E) As We know that sum of the probability of occurrence of an event...
Given that A bag contains $6$ red, $8$ black and $4$ white balls and a ball is drawn at random to find: Probability that the ball drawn is not black so, Total number of balls $6+8+4=18$ therefore,...
Given the Numbers are from $1$ to $15$. One number is selected to find: Probability that the selected number is a multiple of $4$ Thus, the Total number between from $1$ to $15$ to $15$ So, Numbers...
Given that in a lottery there are $10$ prizes and $25$ blanks. to find: Probability of winning a prize So, Total number of tickets is $10+25=35$ Thus, Total number of prizes carrying tickets is $10$...
Given that Tickets are marked from $1$ to $20$ are mixed up. One ticket is picked at random. to find: Probability that the ticket bears a multiple of $3$ or $7$ so, Total number of cards is $20$....
Given that A bag contains $7$ red and $5$ white balls and a ball is drawn at random to find: Probability that the ball drawn is white so Total number of balls $7+5=12$ therefore, Total number of...
Given that probability of winning a game P(E) $=0.3$ We have To Find that Probability of losing the game As We know that the sum of probability of occurrence of an event and probability of...
(iii) Total number of black balls are $5$ We know that the Probability = Number of favorable outcomes/ Total number of outcomes Therefore, the probability of drawing black ball P(E) $=5/15=1/3$ As...
Given that A bag contains $4$ red, $5$ black and 6white balls and a ball is drawn at random to Find: Probability of getting a (i) white ball (ii) red ball (iii) not black ball (iv) red or white So,...
We have, No. of good pens $=132$ No. of defective pens $=12$ Therefore, the total no. of pens $=132+12=144$ Then we have, the total no. of possible outcomes $=144$ Now, let E be the event of getting...
Given that, We have A box which containing 5 red, 8 white and 4 green marbles. Therefore, the total no. of possible outcomes $=17$ ($5$ red $+8$ white $+4$ green) (i) Let E be the Event of getting a...
We have, No. of good pens $=144–20=124$ No. of detective pens $=20$ Therefore, Total no. of possible outcomes $=144$ (total no. of pens) (i) So, for her to buy it the pen should be a good one. So,...
Given that, A bag contains $3$ red and $5$ black balls. Therefore, the total no. of possible outcomes $=8$ ($3$ red $+5$ black) (i)Now Let E = event of getting red ball. So, No. of favorable...
(iii) Let E be event of getting neither a white nor a black ball Therefore, No. of favorable outcomes $=18–6–4$ $=8$(Total balls – no. of white balls – no. of black balls) Thus, Probability, P(E) =...
As we know that total number of balls $=8+6+4=18$ So, Total no. of possible outcomes $=18$ (i) Let E = Event of getting red or white ball Now, No. of favorable outcomes $=14$($8$ red balls $+6$...
Given that $30$ cards of same size in a bag on which numbers $1$ to $30$ are written. And, one card is taken out of the bag at random. to find: Probability that the number on the selected card is...
(iii) Let E be the Event of getting neither a white nor a black ball Therefore No. of favorable outcomes $=20–8–7=5$(total balls – no. of white balls – no. of black balls) Thus, Probability, P(E) =...
As we know that; Total number of possible outcomes $=20$ ($5$ red, $8$ white & $7$ black} (i) Let E = event of drawing a red or white ball So, No. of favorable outcomes $=13(5$ red $+8$ white)...
Given that the numbers are $1,2,2,3,3, 3,4,4,4,4$ So, Total number of possible outcomes $=10$ $Averageoftheno's=\frac{sumofnumbers}{tota\ln umber}$ $=\frac{1+2+2+3+3+3+4+4+4+4}{10}$ $=30/10$ $=3$...
Given that In a class there are $18$ girls and $16$ boys, the class teacher wants to choose one name. The class teacher writes all pupils’ name on a card and puts them in basket and mixes well...
So, No. of possible outcomes while tossing a coin $=2$ i.e., $1$ head or $1$ tail We know that Probability = Number of favorable outcomes/ Total number of outcomes P (getting head)$=1/2$ P (getting...
(iii) So, Favorable outcomes i.e. to get a multiple of $3$ are $3,6,9,$ and $12$ Therefore, total number of favorable outcomes i.e. to get a multiple of $3$ is $4$ We know that the Probability =...
Given that A game of chance consists of spinning an arrow which is equally likely to come to rest pointing number $1,2,3…12$ to find: Probability of following So, Total numbers on the spin is 12 (i)...
Given that Five cards-ten, jack, queen, king and Ace of diamond are shuffled face downwards. to find: Probability of following Total number of cards is $5$ (i) Now Total number of cards which is a...
(v) Total number of jack of hearts is $1$ We know that the Probability = Number of favorable outcomes/ Total number of outcomes Hence, the probability of getting a card which is a jack of hearts...
(iii)Now, Total number of red face cards are $6$ So, Number of favorable outcomes i.e. total number of red face cards is $6$ We know that the Probability = Number of favorable outcomes/ Total number...
Given that One card is drawn from a well shuffled deck of $52$ playing cards to find: Probability of following we know that the Total number of cards are $52$ (i) Now, Total number of cards which...
Given that A bag contains $3$ red, and $5$ black balls. A ball is drawn at random to find: Probability of getting a (i) red ball (ii) white ball So, Total number of balls $3+5=8$ (i) we know that...
(iii) Total number of black balls is $5$ We know that the Probability = Number of favourable outcomes/ Total number of outcomes Therefore, the probability of drawing black ball P(E)$=5/15=1/3$ But,...