Question

Shawna joined the bowling league at Bronze Lanes, a bowling alley. She scores a strike 75% of the time. For a perfect game, she needs to bowl a strike 12 times in a row. How likely is it that Shawna will bowl a perfect game at her next game?

Shawna simulates the situation by using a computer to randomly generate 12 numbers from 1 to 4. Each time 1, 2, or 3 appears, it represents a strike

Answer 1

To calculate the probability of Shawna bowling a perfect game, we need to find the probability of her bowling a strike 12 times in a row.

Step-by-step explanation:

To calculate the probability of Shawna bowling a perfect game, we need to find the probability of her bowling a strike 12 times in a row.

Since Shawna scores a strike 75% of the time, the probability of her bowling a strike on any given ball is 0.75.

To calculate the probability of 12 consecutive strikes, we multiply the probability of bowling a strike for each ball. So the probability can be calculated as: P(perfect game) = (0.75)^12 = 0.00676, or approximately 0.68%.

Therefore, the likelihood of Shawna bowling a perfect game at her next game is approximately 0.68%.