A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting

· an odd prime number under 10 given the card is a club. (1 is not prime.)
· a Jack, given that the card is not a heart.
· a King given the card is not a face card.

Show step by step work. Give all solutions exactly in reduced fraction form.

Question

A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting
 
·         an odd prime number under 10 given the card is a club. (1 is not prime.) 
·         a Jack, given that the card is not a heart.
·         a King given the card is not a face card.

Show step by step work. Give all solutions exactly in reduced fraction form.

anonymous · Answer

given the card is a club means you have 13 in your sample space.  the odd primes are 3, 5, 7

anonymous · Answer

so answer to first one is 
$$\frac{3}{13}$$

anonymous · Answer

not a heart is 39 cards and there are 3 jacks that are not hearts so it is 
$$\frac{3}{39}=\frac{1}{13}$$

anonymous · Answer

both of those are independent so the "given" part is irrelevant

anonymous · Answer

a king given that the card is not a face card is a joke.  not possible so that answer is 0

anonymous · Answer

Ok Thanks