Question

Ashley's Internet service is terribly unreliable. In fact, on any given day, there is a 25 % chance that her Internet connection will be lost
at some point that day. What is the probability that her Internet service is not broken for five days in a row? Enter a fraction or round
your answer to 4 decimal places, if necessary.

Answer 1

Answer:

The probability that her internet service will not be broken for five days in a row is 243/1024

Step-by-step explanation:

Here, we want to calculate the probability that her internet service is not broken for five days in a row

Let the event that her internet will be broken be B and the event that her internet will not be broken be N

P(B ) = 25% = 0.25

P(N) = 1-0.25 = 0.75 = 3/4

Thus, the probability that her internet is not broken for five days in a row = P(N) * P(N) * P(N) * P(N) * P(N)

= 3/4 * 3/4 * 3/4 * 3/4 * 3/4 = 243/1024