Question

1. a baseball player strikes out 45% of the time.. what is the probability that they will not strike out after being up at bat 3 times in a row? 9.1% 19.5% 16.6% 33.4%

Explanation:

Step1: Find non-strikeout probability

The probability of striking out is 45% = 0.45. The probability of not striking out in one at-bat is $1 - 0.45 = 0.55$.

Step2: Calculate 3-in-a-row probability

Since each at-bat is independent, multiply the non-strikeout probability three times: $0.55 \times 0.55 \times 0.55 = 0.55^3$.

Step3: Convert to percentage

$0.55^3 = 0.166375$, which is $16.6375\% \approx 16.6\%$.

Answer:

16.6% (Option C)