Ap Statistics Solutions To Packet 6 - Probability The Study Of Randomness Worksheet With Answers Page 5
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21(b) In how many ways can you get an even sum?
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(c) In how many ways can you get a sum of 5? A sum of 8?
There are 4 ways to get a sum of 5 and 5 ways to get a sum of 8.
(d) Describe any patterns in the table.
Possible answers include:
• The “number of ways” increases until “sum = 7” and then decreases.
• The “number of ways” is symmetrical about “sum = 7.”
• Odd sums occur an even number of ways and even sums occur an odd number of ways.
6.18 PICK A CARD Suppose you select a card from a standard deck of 52 playing cards. In how
many ways can the selected card be
(a) a red card?
26
(b) a heart?
13
(c) a queen and a heart?
1
(d) a queen or a heart?
16
(e) a queen that is not a heart?
3
HW #38 19, 20, 23 – 26, 27, 29-31, 33, 35, 37
6.19 BLOOD TYPES All human blood can by typed as one of O, A, B, AB, but the distributions of
the types varies a bit with race. Here is the distribution of the blood type of a randomly chosen black
American:
Blood type:
O
A
B
AB
Probability:
0.49
0.27
0.20
?
(a) What is the probability of type AB blood? Why?
The given probabilities have sum 0.96, so P(type AB) = 0.04.
(b) Maria has type B blood. She can safely receive blood transfusions from people with blood types
O and B. What is the probability that a randomly chosen black American can donate blood to Maria?
P(type O or B) = 0.49 + 0.20 = 0.69.
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