A batter has a 37% probability of getting a hit each time at bat, independent of his previous at bat. What is his percent probability of getting at least two hits four times at bat?
The probabilty is given by :
Prob 2 hits + Prob 3 hits + Prob 4 hits
C (4,2) (.37)^2 (1 -.37)^2 + C(4,3) (.37)^3 (1 -.37) + (.37)^4 ≈ .4724 = 47.24%
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