Question

6. You draw one card from a standard deck.(a) What is the probability that you do not select a diamond? (b) What is the probability that you do not select a face card? (c) What is the probability that you do not select an Ace? (d) What is the probability that you do not select a Jack or a King?

Answer 1

a.

We have 13 diamond cards.

The total of cards in a standard deck is 52

P(not a diamond) = 1 - P(Diamond)

= 1 - 13/52

= 3/4

b.

There are 12 faces cards

P(not a face card) = 1- P(face card)

= 1 - 12/52

= 10/13

c.

There are 4 ace cards

P(not an Ace) = 1-P(Ace)

= 1 - 4/52

= 12/13

d.

We have 4 jack cards and 4 king cards. 4+4 =8 j and k cards

P(not j or k) = 1 - P(j or k)

=1 - 8/52

= 44/52