Question

To simulate the number of makes in $10$shot attempts, you would perform the simulation as follows:

a. Use $10$random one-digit numbers, where $0-4$are a make and $5-9$are a miss.

b. Use $10$random two-digit numbers, where $00-46$are a make and $47-99$are a miss.

c. Use $10$random two-digit numbers, where $00-47$are a make and $48-99$are a miss.

d. Use $47$random one-digit numbers, where $0$is a make and $1-9$are a miss.

e. Use $47$random two-digit numbers, where $00-46$ are a make and $47-99$ are a miss.

Short answer

The correct option is (b).

Step-by-step solution

Step 1. Explanation for correct option

True, because the $47\%$probability ( $47$out of $100$number in a hit).

Use $10$random two-digit numbers, where $00-46$is a make and $47-99$are a miss.

Therefore, correct option is option (b).

Step 2. Explanation for incorrect options

(a) False, because the there is $50\%$probability ($5$out of the $100$numbers in a hit) instead of $47\%$.

(c) False, because of $48\%$probability rather than $47\%$($48$out of the $100$digit numbers in a hit).

(d) False, because of $10\%$probability rather than $47\%$($1$out of $10$digit numbers in a hit).

(e) False, because there should make $10$simulations for $10$shots rather than $47$simulations.