Return to the credit card scenario of Exercise 12 (Section 2.2), where , , , , and
Question:
Return to the credit card scenario of Exercise 12 (Section 2.2), where , , ,
, and . Calculate and interpret each of the following probabilities (a Venn diagram might help).
a. b.
c. d.
e. Given that the selected individual has at least one card, what is the probability that he or she has a Visa card?
P(Au B) P(Ar u B)
P(Bu A) P(Br u A)
P(B) 5 .4 P(A ¨ B) 5 .25 A 5 5Visa6 B 5 5MasterCard6 P(A) 5 .5 P(Au B) P(Bu A)
P(Au C) P(Cu A)
P(A ¨ C)
B 5 5type B selected6 C 5 5ethnic group 3 selected6 A 5 5type A selected6 Consider randomly selecting such a coffee purchaser.
a. What is the probability that the individual purchased a small cup? A cup of decaf coffee?
b. If we learn that the selected individual purchased a small cup, what now is the probability that he/she chose decaf coffee, and how would you interpret this probability?
c. If we learn that the selected individual purchased decaf, what now is the probability that a small size was selected, and how does this compare to the corresponding unconditional probability of (a)?
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