Question

For problems 6-10: You randomly draw a card from a standard deck of playing cards. Let Event A be the event that the card is an ace, Event B be that the card is black, and Event C be that the card is a club. Calculate the following probabilities. Leave your answer in fraction form. 10. An ace drawn is black.

Answer 1

There are 52 cards in a standard deck, 26 of them are black and there are 2 black ace. Since the probability is equatl to the number of possible outcomes divided by the total number of outcomes,

$P(A\cap B)=P(\text{ ACE AND BLACK)=}\frac{2}{52}$

By simplyfing this result, the answer is:

$P(A\cap B)=P(\text{ ACE AND BLACK)=}\frac{1}{26}$