Question

all the three face cards of spade are removed from a pack of 52 cards.a card is drawn at random from the remaining cards. find the probability of getting a black face card

Answer 1

Since we removed three cards from the 52 card pack, the total remaining cards (that is, the total number of outcomes) = 52 - 3 = 49

Spades and clubs constitute the black cards in a card pack. Each has 3 face cards, which means that there are a total of 6 black face cards in a pack.

We now remove three black spade face cards.

Hence, number of black face cards remaining (that is, the number of favorable outcomes) = 6 - 3 = 3

Therefore,

probability of getting a black face card = $\frac{number of black face cards remaining}{total number of cards}$ = $\frac{3}{49}$