You draw a card at random from a standard deck of 52 cards.Find the probability that the card is a heart given that it is black.
A)0.077
B)0
C)0.333
D)0.25
E)0.5

Question

Quizplus · Accepted Answer

There are 26 black cards in a deck, but only 13 of them are hearts. Therefore, the probability of drawing a heart given that the card is black is 13/26, which reduces to 1/2 or 0.5. However, none of the answer choices include this value, so the closest answer is B, which is zero. This is because there are no black hearts in the deck, meaning it is impossible to draw a heart given that it is black.

You Draw a Card at Random from a Standard Deck