Question

Two cards are randomly selected from an ordinary playing deck.

Answer 1

Answer:

The required probability is 0.048

Step-by-step explanation:

Consider the provided information.

Out of 52 card we need to select only 2.

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

One card is Ace. The number of Ace are 4 and we need to select one of them.

This can be written as: $^4C_1=4$

The second card can be Ten or a Jack or a Queen or a King.

There are 4 Ten, 4 jack, 4 Queen, and 4 king in a deck and we need to select only 1 out of them.

So we can say that we need to select 1 card out of 16.

This can be written as: $^{16}C_1=16$

Thus, the probability that one of the cards is an ace and the other one is either a ten, a jack, a queen or a king is:

$P=\frac{16\times4}{1326}\approx0.048$

Hence, the required probability is 0.048