Acertain type of flashlight requires two type-d batteries, and the flashlight will work only if both its batteries have acceptable voltages. suppose that 90% of all batteries from a certain supplier have acceptable voltages. among fifteen randomly selected flashlights, what is the probability that at least fourteen will work? (round your answer to three decimal places.)

0.549 or 54.9%

Step-by-step explanation:

This is a binomial distribution (Bernoulli's experiment), where the probability of “success” (selecting a battery with acceptable voltage) is 0.9 and the probability of “failure” is 0.1

So, the probability of selecting at least 14 acceptable batteries out of 15 is

where C(n, m) are combinations of n elements taken m at a time.

C(15,14) = 15

C(15,15) = 1

so, the probability we are looking for is

there are no short passages to look at