45. It is estimated that 63% of Americans will watch the Masters golf tournament and only 48% will watch the British Open. If it is estimated that 37% of Americans will watch both tournaments, what is the probability that they will watch at least one of the golf tournaments? 16

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Q45
(a) What outcomes are in the event AN B?
(b) What outcomes are in the event BUC?
(c) What outcomes are in the event C'?
(d) Are the events AN B and BN A the same? Why?
(e) Are the events BUC and CU B the same? Why?
41. A survey of 100 male students and 100 female students regarding their favorite Mexican food
restaurant yielded the results given below.
Gender Chipotle Moe's Salsaritas Q'doba
Male
38
35
20
Female
40
30
13
17
(a) What is the probability that a respondent is male?
(b) What is the probability that a respondent likes Q'doba?
(c) What is the probability that a respondent likes Salsaritas and is female?
(d) What is the probability that a respondent likes Salsaritas or is female?
42. Consider two disjoint (or mutually exclusive) events A and B. If P(A) = 0.7 and P(B) = 0.2,
find P(AU B).
43. Consider two disjoint (or mutually exclusive) events A and B with P(A) = 0.7 and P(B) = 0.4.
Are these probabilities correctly assigned? (Hint: Calculate P(A U B).)
44. Suppose P(A) = 0.60 and P(B) = 0.7. Can events A, B be disjoint?
45. It is estimated that 63% of Americans will watch the Masters golf tournament and only 48% will
watch the British Open. If it is estimated that 37% of Americans will watch both tournaments,
what is the probability that they will watch at least one of the golf tournaments?
46. Consider drawing two cards from a regular deck of cards (52 cards total, 4 suits, 13 cards in each
suit). What is the probability that you draw two Aces if the cards are drawn
(a) With replacement?
(b) Without replacement?
Transcribed Image Text:(a) What outcomes are in the event AN B? (b) What outcomes are in the event BUC? (c) What outcomes are in the event C'? (d) Are the events AN B and BN A the same? Why? (e) Are the events BUC and CU B the same? Why? 41. A survey of 100 male students and 100 female students regarding their favorite Mexican food restaurant yielded the results given below. Gender Chipotle Moe's Salsaritas Q'doba Male 38 35 20 Female 40 30 13 17 (a) What is the probability that a respondent is male? (b) What is the probability that a respondent likes Q'doba? (c) What is the probability that a respondent likes Salsaritas and is female? (d) What is the probability that a respondent likes Salsaritas or is female? 42. Consider two disjoint (or mutually exclusive) events A and B. If P(A) = 0.7 and P(B) = 0.2, find P(AU B). 43. Consider two disjoint (or mutually exclusive) events A and B with P(A) = 0.7 and P(B) = 0.4. Are these probabilities correctly assigned? (Hint: Calculate P(A U B).) 44. Suppose P(A) = 0.60 and P(B) = 0.7. Can events A, B be disjoint? 45. It is estimated that 63% of Americans will watch the Masters golf tournament and only 48% will watch the British Open. If it is estimated that 37% of Americans will watch both tournaments, what is the probability that they will watch at least one of the golf tournaments? 46. Consider drawing two cards from a regular deck of cards (52 cards total, 4 suits, 13 cards in each suit). What is the probability that you draw two Aces if the cards are drawn (a) With replacement? (b) Without replacement?
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