Max placed 5 brown bottles and 5 white bottles on a wall for target practice. The probability of him breaking a bottle is 0.95.

Question

What is the probability that he will hit fewer than 8 of the bottles?

Answer 1

Each throw is independent, so can use binomial distribution formula to find probability.

x n-x

P(x successes in n tries) = n! p (1-p)

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x! (n-x)!

where p is the probability of success

for this problem p = 0.95.

want to know P(x < 8). That would be the same as 1 - P( x >=8).

so can find P(x = 8) + P(x = 9) + P(x = 10), then subtract that value from 1.