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 $2 =$ OUT . The output from the simulation was as follows.
$\begin{array}{llcc}
1&2&2&2&1&2&2&1&1&1&2&2&2&2&1&1&1&1&2&2&2&2&1&1&2&2&1&1&1&1&2&2&2&2&2&1&1&1&1
\end{array}$
Estimate the probability that he makes an out.
A) 0.524
B) 0.782
C) 0.643
D) 0.621

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 $2 =$ OUT . The output from the simulation was as follows.
$\begin{array}{llcc}
1&2&2&2&1&2&2&1&1&1&2&2&2&2&1&1&1&1&2&2&2&2&1&1&2&2&1&1&1&1&2&2&2&2&2&1&1&1&1
\end{array}$
 Estimate the probability that he makes an out.
A) 0.524
B) 0.782
C) 0.643
D) 0.621

Quizplus · Accepted Answer

The output from the simulation shows that Sammy got a hit 15 times and was out 20 times. Therefore, the probability that he makes an out is 20/35 = 0.571, which is closest to choice A, 0.524.

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