Swinging Sammy Skor's batting prowess was simulated to get an estimate of the probability that Sammy will get a hit. Let $1 =$ HIT and $0 =$ OUT. The output from the simulation was as follows.

$\begin{array}{llcc}
1&0&0&0&1&0&0&1&0&0&1&1&1&1&0&0&0&0&1&1&1&1&0&0&0&0&0&1&1&0&0&1&1&1&1&0&0&0&0&0&0&1&1&1&1&1
\end{array}$

Estimate the probability that he gets a hit.
A) 0.301
B) 0.286
C) 0.476
D) 0.452

Question

Swinging Sammy Skor's batting prowess was simulated to get an estimate of the probability that Sammy will get a hit. Let $1 =$ HIT and $0 =$ OUT. The output from the simulation was as follows.

$\begin{array}{llcc}
1&0&0&0&1&0&0&1&0&0&1&1&1&1&0&0&0&0&1&1&1&1&0&0&0&0&0&1&1&0&0&1&1&1&1&0&0&0&0&0&0&1&1&1&1&1
\end{array}$

Estimate the probability that he gets a hit.
A) 0.301
B) 0.286
C) 0.476
D) 0.452

Quizplus · Accepted Answer

The probability is estimated by dividing the number of hits (1s) by the total number of attempts. There are 20 hits out of 42 attempts, so the probability is 20/42 ≈ 0.476.

Swinging Sammy Skor's Batting Prowess Was Simulated to Get an Estimate