Question

Shota built a time travel machine, but he can't control the duration of his trip. Each time he uses the machine he has a 0.80.80, point, 8 probability of staying in the alternative time for more than an hour. During the first year of testing, Shota uses his machine 202020 times. Assuming that each trip is equally likely to last for more than an hour, what is the probability that at least one trip will last less than an hour?

Answer 1

Answer:

0.988

Step-by-step explanation:

P(at least all trips last less than1 hour)=1-P(all trips last 1 hour or more)=$1-0.8^{20}=1- 0.011529215= 0.988471\approx 0.988$

Therefore, the probability is 0.988  to three decimal places