According to an Internet posting, 80% of adults enjoy drinking beer. If a group of 3 adults is selected at random, find the probability that all of them enjoy drinking beer is:
what is .8^3 = ?
To find the probability that all three adults enjoy drinking beer, we need to multiply the probability that each individual adult enjoys drinking beer.
Given that 80% of adults enjoy drinking beer, the probability that one adult enjoys drinking beer is 0.8 (or 80%).
Since there are three adults in the group, we need to multiply the probabilities together.
P(All three adults enjoy drinking beer) = P(First adult enjoys drinking beer) * P(Second adult enjoys drinking beer) * P(Third adult enjoys drinking beer)
P(All three adults enjoy drinking beer) = 0.8 * 0.8 * 0.8
P(All three adults enjoy drinking beer) = 0.512
Therefore, the probability that all three adults selected at random enjoy drinking beer is 0.512 or 51.2%.