Question

Kristen is playing a game where she is trying to roll a five with a standard die. If she gets a five in any of her first 9 rolls, she wins; otherwise she loses. What is the probability that Kristen loses the game? Round your answer to the nearest tenth of a percent.

Answer 1

There is only a 19.4% chance that she losses the game.

This is because she has a 5/6 or 83.3% chance of not rolling a 5. In order to find the probability of this happening repeatedly 9 times, you must raise the fraction to the 9th power.

(5/6)^9 = .1938

Then you can turn it into a percentage and round.

19.4%