At a local restaurant 10 people ate bad tuna salad The proba

At a local restaurant 10 people ate bad tuna salad. The probability of getting food poisoning from this salad is 40%. What is the probability that all 10 people get sick?

Solution

10 ppl ate bad tuna salad

P(one person getting sick) = 40% i.e 40/100 or 2/5

All ten get sick

P(all ten getting sick) = P(1st person sick) * P(second person sick) .... * P(10th person sick) as these are all independent events

P(all ten getting sick) = (2/5)^10

P(all ten getting sick) = (0.4)^10 ----> ANSWER