Question

2) A club prefers when bands start their sets on time. The probability that a band performing there starts on time is 35%. The probability that a band is invited back there is 60%. What is the probability that a band performing there starts on time and is invited back to perform there again?

a) exactly 5% b) at least 5% and less than 21% c) exactly 21% d) more than 21% and at most 35% e) exactly 35% f) more than 35%

Answer 1

ANSWER::

2)

Let A = Event that the band performs on time. B =  Event that the band is invited back. It is given that event B is dependent on event A.

Given: P(A) = 0.35, P(B|A) = 0.60 (Band is invited again if it performs on time) To find: P(AB) = ?

By definition of Conditional Probability,

= 0.21

Correct option would be c) exactly 21%

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