vanilla lavour, B be the event that a randomly selected individual like (b) Let

Question

vanilla lavour, B be the event that a randomly selected individual like (b) Let A be the event that a randomly selected individual ke strawberry flavour and C be the event that a randomly selected individual likes chocolate flavour. Suppose that P(A) 0.65 P(Au B) 0.8 P(B)0.55 P (C) 0.70 P(AuBuC) 0.9 (i) What is the probability that the individual likes both the vanilla and the strawberry flavours? (ii) If it is known that the individual did not like vanilla, what now is the probability that the individual liked at least one of the other two flavours?

Explanation / Answer

i)

P(AB) = P(A)+P(B)-P(AB) = 0.65+0.55-0.8 = 0.4

ii)

P(liked one of the two flavours | did not like vanilla) = 1 - P(did not like any of the flavours | did not like vanilla)

= 0.25/0.35 = 0.71

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