Question

A card is drawn from a well shuffled pack of 52 playing cards.

Complete the following activity to find the probability of the following events: 

1. A red card 
2. A face card.

Activity:

Let ‘S’ is the sample space.

∴ n(S) = `square`

Event A: Card drawn is a red card.

Total red cards = `square`

∴ n(A) = `square`

∴ P(A) = `("n"("A"))/("n"("S"))`   .........[Formula]

∴ P(A) = `26/52`

∴ P(A) = `square`

Event B: Card drawn is a face card. 

Total face cards = 12

∴ n(B) = `square`

∴ P(B) = `("n"("B"))/("n"("S"))`   .........[Formula]

∴ P(B) = `12/52`

∴ P(B) = `square`

Answer 1

Activity:

Let ‘S’ is the sample space.

∴ n(S) = \[\boxed{52}\]

Event A: Card drawn is a red card.

Total red cards = \[\boxed{13 \text{hearts} + 13 \text{diamonds}}\]

∴ n(A) = \[\boxed{26}\]

∴ P(A) = `("n"("A"))/("n"("S"))`   .........[Formula]

∴ P(A) = `26/52`

∴ P(A) = \[\boxed{\frac{1}2}\]

Event B: Card drawn is a face card. 

Total face cards = 12

∴ n(B) = \[\boxed{12}\]

∴ P(B) = `("n"("B"))/("n"("S"))`   .........[Formula]

∴ P(B) = `12/52`

∴ P(B) = \[\boxed{\frac{3}{13}}\]