Question

A card is drawn from a well-shuffled pack of 52 playing cards. Find the probability of the event, the card drawn is a red card.

Solution:

Suppose ‘S’ is sample space.

∴ n(S) = 52

Event A: Card drawn is a red card.

∴ Total red cards = `square` hearts + 13 diamonds

∴ n(A) = `square`

∴ p(A) = `square/("n"("s"))`   ....formula

∴ p(A) = `26/52`

∴ p(A) = `square`

Answer 1

Suppose ‘S’ is sample space.

∴ n(S) = 52

Event A: Card drawn is a red card.

∴ Total red cards = 13 hearts + 13 diamonds

∴ n(A) = 26

∴ p(A) = `("n"("A"))/("n"("s"))`   ....formula

∴ p(A) = `26/52`

∴ p(A) = `1/2`