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 king.

Respuesta :

Cinnar

Answer:

0.006%.

Step-by-step explanation:

In a standard deck of cards, there should be four 4 cards and four king cards. We first want the probability of selecting a 4 card, which is just

[tex]$\frac{4}{52}.$[/tex]

Then we want it for the king card, but since we didn't replace the first card, we only have 51 cards left. This implies our probability is

[tex]$\frac{4}{51}.$[/tex]

Now, all we have left is to multiply the two fractions and divide by the denominator:

[tex]$\frac{4}{52} \cdot \frac{4}{51} = \frac{16}{2652} = \frac{4}{663} = 0.006.$[/tex]