A certain bowler can bowl a strike 90% of the time. What is the probability that

Question

A certain bowler can bowl a strike 90% of the time. What is the probability that she A) goes three consecutive frames without a strike? B) makes her first strike in the third frame? C) has at least one strike in the first three frames? D) bowls a prefect game (12 consecutive strikes)? (Type as an interger or decimal rounded to the nearest thousandth as needed) A certain bowler can bowl a strike 90% of the time. What is the probability that she A) goes three consecutive frames without a strike? B) makes her first strike in the third frame? C) has at least one strike in the first three frames? D) bowls a prefect game (12 consecutive strikes)? (Type as an interger or decimal rounded to the nearest thousandth as needed) A) goes three consecutive frames without a strike? B) makes her first strike in the third frame? C) has at least one strike in the first three frames? D) bowls a prefect game (12 consecutive strikes)? (Type as an interger or decimal rounded to the nearest thousandth as needed)

Explanation / Answer

a) P(three consecutive frames without a strike ) = (0.10^3) = 0.001

b) 0.9*(0.1^2) = 0.009

c) P(X>=1)

= 1-P(X = 0)

= 1-0.001

= 0.999

d) P(x =12)

= 0.9^12 = 0.282

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