A single card is drawn from a standard deck of cards What is

A single card is drawn from a standard deck of cards. What is the probability that the card is a spade given that it is not a heart?

Solution

P(spade|not heart)= P(spade) because spade and heart can\'t happen in the same card.
They are independent event.

let A be the event of getting a spade.

total cards = n(s) = 52

total spade = n(A) = 13

P(A) = n(A)/ n(S) = 13/52 = 1/4.