A string of 10 lightbulbs is wired in such a way that if any individual lightbulb fails, the entire string fails. If for each individual lightbulb the probability of failing during time period T is 0.06, what is the probability that the string of lightbulbs will fail during time period T?

Question

Mathematics

Guest

8 May, 23:46

A string of 10 lightbulbs is wired in such a way that if any individual lightbulb fails, the entire string fails. If for each individual lightbulb the probability of failing during time period T is 0.06, what is the probability that the string of lightbulbs will fail during time period T?

+5

Answers (2)

Know the Answer?

Kenny Lam · Answer 1

0.6 because theres 10 lights so 0.06 * 10 = 0.6 : D

Camryn Cox · Answer 2

Answer: 1 - (0.94) ^10

Step-by-step explanation: The string of light bulbs will fail if at least one light bulb fails. So, let's find the probability of the opposite event and subtract that value from 1.

The opposite event is when none of the 10 light bulbs fails since the probability of each light bulb not to fail is 1-0.06=0.94 then the probability that none of the 10 light bulbs fails is 0.94^10.

Hence, the probability that at least one light bulb fails is 1-0.94^10.