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: [tex]^{52}C_2=1326[/tex]
One card is Ace. The number of Ace are 4 and we need to select one of them.
This can be written as: [tex]^4C_1=4[/tex]
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: [tex]^{16}C_1=16[/tex]
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:
[tex]P=\frac{16\times4}{1326}\approx0.048[/tex]
Hence, the required probability is 0.048
