Originally Posted by

**qmech** To get a score of 107 in the new 'minimum' fashion, he can only get scores of 107, 108 or 109 on the 3 days. The probability of getting a 107 is 0.1, the probability of getting a 108 or 109 is 0.2. His scores could have been:

aaa - 3 scores of 107

aab - 2 scores of 107, and 1 of 108 or 109

abb - 1 scores of 107, and 2 of 108 or 109.

aaa - happens in 1 way

aab - happens in 3 ways.

abb - happens in 3 ways.

aaa - probability = 0.1*0.1*0.1=0.001

aab - probability = 0.1*0.1*0.2=0.002

abb - probability = 0.1*0.2*0.2=0.004

So the total probability for 107 is:

1*0.001 + 3*0.002 + 3*0.004 = 0.019