Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a four and then selecting a two.

Given:

Two cards are selected from a standard deck of 52 playing cards.

The first card is not replaced before the second card is selected.

To find:

The probability of selecting a four and then selecting a two.

Solution:

We know that,

Total number of cards = 52

Number of four cards = 4

Number of two cards = 4

Now,

Probability of selecting a four =

After selecting a card, then number of remaining cards is 51.

Probability of selecting a two =

So, the probability of selecting a four and then selecting a two is

Therefore, the required probability is .

20

step-by-step explanation:

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5