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Vince Young will miss an important TV program while taking his money management

ID: 3170215 • Letter: V

Question

Vince Young will miss an important TV program while taking his money management exam, so he sets both his DVRs to record it. The first one records 70% of the time, and the second one records 60% of the time. What's the probability that he gets home after the exam and finds at least one copy of his program? (Assume independence) Eight lingerie football referees and four peewee football referees have applied for two positions in the NFL. Goode pound pound has decided to randomly select the two members (Without Replacement). What's the probability that exactly one lingerie and one peewee ref are chosen for two positions?

Explanation / Answer

Total number of applicants = 8 + 4 = 12

Number of ways of choosing people for 2 positions from 12 applicants = 12C2 = 66

So,

P(Choosing one lingerie and one peewee)

= (8C1 * 4C1) / (12C2)

= 32/66

= 16/33