Consider a game that consists of dealing out a hand of two random cards from a deck of four cards.The deck contains the Ace of Spades (As),the Ace of Hearts (Ah),the King of Spades (Ks)and the 9 of Hearts (9h).What is the probability that you have at least one Ace?
A)1/6
B)2/6
C)3/6
D)4/6
E)5/6

Question

Quizplus · Accepted Answer

To calculate the probability of having at least one Ace in a hand of two cards drawn from a deck of four cards (Ace of Spades, Ace of Hearts, King of Spades, and 9 of Hearts), we can use the complement rule. The complement of having at least one Ace is having no Aces at all. There are 2 ways to draw a hand with no Aces (Ks9h), out of a total of 6 possible hands (since there are 4 cards and we are choosing 2, the total number of combinations is 4C2 = 6). Therefore, the probability of not having an Ace is 2/6, and the probability of having at least one Ace is 1 - 2/6 = 4/6 or 5/6.

Consider a Game That Consists of Dealing Out a Hand