Question

You and two friends each randomly pick a movie from 5 choices. What is the probability that you all pick the same movie?

Answer #1

Number of movie choices = 5

Total number of possible ways = Number of ways you can choose a
movie from * Number of ways the First friend can choose a movie
from * Number of ways the second friend can choose a movie from =
5*5*5 = 125

Now if All pick same movie then

Number of ways you can choose a movie from = 5

Number of ways the first friend can choose a movie from = 1

Number of ways the second friend can choose a movie from = 1

So the total number of all pick the same movie = 5*1*1 = 5

P(That all pick the same movie) = total number of all pick the same
movie/Total number of possible ways = 5/125 = 1/25 = 0.04

So there is 4% probability that you all pick the same
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