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(lprefer coffee black but drink ess than 2 coffee) =0.35*(1-0.24)=0.266

b) P(drink at least 2 cup but not prefer coffee black) =(1-0.35)*0.24=0.156

c) P(coffee black or drinl at least 2 cup) =0.35+0.24-0.35*0.24=0.506

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