Question

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?

Answer 1

`(1)/(208)`

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.

`\text{ Probability of getting a club}=(13)/(52) =(1)/(4)`

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

`\text{ Probability of getting ace of spades}=(1)/(52)`

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

`\text{ Probability of getting a club and then ace of spades}=(1)/(4)*(1)/(52)=(1)/(208)`

Therefore, probability of getting a club and then the ace of spades
`(1)/(208)`.