Ross chose a card at random from a deck of 52 cards. Ross replaced the card and then chose a second card. What is the probability that Ross chose a club and then the ace of spades?

Respuesta :

Answer:

[tex]\frac{1}{208}[/tex]

Step-by-step explanation:

We have been given that Ross chose a card at random from a deck of 52 cards. Ross replaced the card and then chose a second card.

Let us find probability of getting a club.

[tex]\text{ Probability of getting a club}=\frac{13}{52} =\frac{1}{4}[/tex]

Now let us find probability of getting the ace of spades.

[tex]\text{ Probability of getting ace of spades}=\frac{1}{52}[/tex]

Now let us multiply these to find probability of getting a club and ace of spades.      

[tex]\text{ Probability of getting a club and then ace of spades}=\frac{1}{4}*\frac{1}{52}=\frac{1}{208}[/tex]

Therefore, probability of getting a club and then the ace of spades [tex]\frac{1}{208}[/tex].