Question

A card is drawn at random from a pack of well shuffled 52 playing cards. Complete the following activity to find the probability that the card drawn is:

Event A: The card drawn is an ace.

Event B: The card drawn is a spade.

Activity: 'S' is the sample space.

∴ n(S) = 52

Event A: The card drawn is an ace.

∴ n(A) = `square`

P(A) = `square`  ......(formula)

∴ P(A) = `square/52`

∴ P(A) = `square/13`

Event B: The card drawn is a spade.

∴ n(B) = `square`

P(B) = `(n(B))/(n(S))`

∴ P(B) = `square/4`

Answer 1

'S' is the sample space.

∴ n(S) = 52

Event A: The card drawn is an ace.

∴ n(A) = 4

P(A) = `bb((n(A))/(n(S)))`  ......(formula)

∴ P(A) = `bb4/52`

∴ P(A) = `bb1/13`

Event B: The card drawn is a spade.

∴ n(B) = 13

P(B) = `(n(B))/(n(S))`

∴ P(B) = `13/52`

∴ P(B) = `bb1/4`