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Home » From a well shuffled deck of     cards, one card is drawn. Find the probability that the card drawn will:     be a red card.     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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