A single card is dealt from a standard deck of 52 cards. What is the probability that the card is a 5 and club?

Question

A single card is dealt from a standard deck of 52 cards. What is the probability that the card is a 5 and club? What is the probability that the card is  5 and a 2?

Answer 1

There is only one 5 of clubs. If this is what you mean the probability is 1/52.

Another way to look at this is as follows: there are 4 fives, so the probability that the card is a five is 4/52.

There are 13 clubs so the probability that the card is a club is 13/52.

The probability that the card is a 5 and a club is (4/52)(13/52)=(1/13)(1/4)=1/52 again !

The card can't be a 5 and a 2 at the same time. Do you mean 5 or 2 ?

There are 4 fives and 4 twos so the probability that the card is a 5 or a 2 is (4+4)/52=8/52=2/13