What is the probability that all 3 companies show a profit increase?

An investor holds shares i three independents companies, companies A, B and C. An analyst predicts the probability of profit increases for each company as follows:
Company A: 0.70
Company B: 0.50
Company C: 0.65
1. If the analyst’s predictions are correct, what is the probability that all 3 companies show a profit increase? (express your answer to the nearest hundredth of one percent)
2. If the analyst’s predictions are true, what is the probability that at least one company shows a profit increase?(express your answer to the nearest hundredth of one percent)

Solution:

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