3. Skippy needs a ride to the airport and has only two friends who have cars, Bu

Question

3. Skippy needs a ride to the airport and has only two friends who have cars, Buffy and Jody The probability that Buffy is unavailable is 0.25, the probability that Jody is unavailable is 0.35, and the probability that both are unavailable is 0.15. Find the probability that (a) (b) both Buffy and Jody are available; at least one of them is available. 4. A student applied for an SMU Alumni Association scholarship and a scholarship from the local Rotary. The student has a probability of 0.27 of receiving the Alumni scholarship, a probability of 0.16 of receiving the Rotary scholarship, and a probability of 0.32 of winning either or both scholarships. Find the probability that the student: (a) (b) (c) wins both scholarships; wins neither scholarship; wins just the Alumni scholarship.

Explanation / Answer

3 (a) P(both are available) = 1-0.15 = 0.85

b) P( at least one of them is available) = 1-(0.25+0.35-0.15) = 0.55

4) a) P(Wins both scholarship) = 0.27+0.16-0.32 = 0.11

b) P(Wins neither scholarship) = 1-0.32 = 0.68

c) P(Wins just alumini scholarship) = 0.27-0.11 = 0.16

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