For a particular test S=60% if strategy is to continue until target score is hit

Question

For a particular test S=60% if strategy is to continue until target score is hit
-what is the chance they will take the test exactly 5 times?
-what is the chance they will take the test at most five times? For a particular test S=60% if strategy is to continue until target score is hit
-what is the chance they will take the test exactly 5 times?
-what is the chance they will take the test at most five times? For a particular test S=60% if strategy is to continue until target score is hit
-what is the chance they will take the test exactly 5 times?
-what is the chance they will take the test at most five times?

Explanation / Answer

1)probability of taking the test exactly 5 times =P(till 4 test no hit and on 5th test there is a hit) =(1-0.6)4*0.6

=0.01536

2)probability of taking the test at most 5 times =P(X<==5) =1-P(till 5 test no success) =1-(1-0.6)5 =0.98976

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