Question

two cards are chosen at random from a deck of 52 playing cards. what is the probability that they are both aces?

Answer 1

Answer:

The probability that they are both aces is 0.00452.

Step-by-step explanation:

Consider the provided information.

Out of 52 playing card we need to select only 2.

Thus, the sample space is: $^{52}C_2=1326$

Two cards are Ace.

The number of Ace in a pack of playing card are 4 and we need to select two of them.

This can be written as: $^4C_2=6$

Thus, the probability that they are both aces is:

$P(\text{Both are Ace})=\dfrac{6}{1326} \approx0.00452$

Hence, the probability that they are both aces is 0.00452.