According to StatisticsBrain. com. 35% of coffee drinkers prefer their coffee bl

Question

According to StatisticsBrain. com. 35% of coffee drinkers prefer their coffee black (without milk), 24% of coffee drinkers drink 2 or more cups of coffee per day. Assume that preferring coffee black is independent of the amount of coffee a person drinks per day. a. If a coffee drinker is selected at random, what is the probability that they prefer their coffee black, but they drink less than 2 cups per day? b.lf a coffee drinker is selected at random, what is the probability that they drink at least 2 cups per day, but do not prefer their coffee black? c. If a coffee drinker is selected at random, what is the probability that they prefer their coffee black, they drink at least 2 cups per day, or both?

Explanation / Answer

a) P( Prefer Coffee black but drink less than 2 cups) = 0.35*(1-0.24) = 0.266

B) P( Drink at least 2 cups but not black coffee) = 0.24*(1-0.35) = 0.156

c) P( Prefer Coffee black and drink less than 2 cups) = 0.35+0.76-0.35*0.76 = 0.844

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