Probability question

Question

One card is drawn from a deck of 52 cards.

           a. What is the probability that you will draw a heart?

      b. What is the probability that you will draw a queen?

c. What is the probability that the card is not a queen?

d. What is the probability that the card will be a queen and an ace?

e. What is the probability that the card will be a queen or an ace?

f. What is the probability that the card is a queen and a heart? 

g.  What is the probability that the card will be a queen or a heart?

 

Answer 1

a) 1/4

b) 1/13

c) 12/13

d) 0

e) 2/13

f) 1/52

g) 2/13+1/4 -1/52 = 16/52= 4/13

Pr(QorH) = Pr(Q)+Pr(H)-P(QH) = 1/13+1/4-1/52 = 4/52+13/52-1/52 =16/52

4 ways to get a queen, 13 ways to get a heart, 1 way to get the queen of hearts, 4+13-1 = 16 ways to get a queen or a heart out of 52 possibilities

16/52 = 4/13