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From a well shuffled deck of \[\mathbf{52}\] cards, one card is drawn. Find the probability that the card drawn will: \[\left( \mathbf{iii} \right)\] be a red card. \[\left( \mathbf{iv} \right)\] be a face card
From a well shuffled deck of \[\mathbf{52}\] cards, one card is drawn. Find the probability that the card drawn will: \[\left( \mathbf{iii} \right)\] be a red card. \[\left( \mathbf{iv} \right)\] be a face card
CBSE | Class 10 | Exercise 13.1 | Selina | Statistics and Probability
From a well shuffled deck of \[\mathbf{52}\] cards, one card is drawn. Find the probability that the card drawn will: \[\left( \mathbf{iii} \right)\] be a red card. \[\left( \mathbf{iv} \right)\] be a face card

Solution:

\[\left( iii \right)\] Number of red cards in a deck \[=\text{ }26\]

The number of favourable outcomes for the event of drawing a red card \[=\text{ }26\]

Then, probability of drawing a red card \[=\text{ }26/52\text{ }=\text{ }{\scriptscriptstyle 1\!/\!{ }_2}\]

\[\left( iv \right)\] There are \[52\] cards in a deck of cards, and \[12\] of these cards are face cards (\[4\]kings, \[4\]queens and \[4\] jacks).

The number of favourable outcomes for the event of drawing a face card \[=\text{ }12\]

Then, probability of drawing a face card \[=\text{ }12/52\text{ }=\text{ }3/13\]

i

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