Ashley’s Internet service is terribly unreliable. In fact, on any given day, there is a 20%
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 four days in a row? Enter a fraction or round your answer to 4
decimal places, if necessary.
The probability that her Internet service is not broken on any given day is 1 - 0.20 = 0.80.
To find the probability that her Internet service is not broken for four days in a row, we multiply the probabilities for each day together:
0.80 * 0.80 * 0.80 * 0.80 = 0.4096
So, the probability that her Internet service is not broken for four days in a row is 0.4096 or 0.41 (rounded to 2 decimal places).