discrete math problems 2

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I have attracted a PDF with all the questions

1) Let A and B be events such that, P(A) = 0.3, P(B) = 0.6, P(A ⋂ B) = 0.2 Find a. P(A ⋃ B) b. P(A|B) c. P(B|A)

2) . According to a survey of hikers on a trail, 50% of the hikers like carrots (C) and 30% like broccoli (B). 20% like both. Write the following in terms of the events and assume random selection: a. Find the probability that a hiker likes carrots or broccoli b. If a hiker likes broccoli, find the probability that he likes carrots c. Find the probability that a hiker that likes carrots also likes broccoli.

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