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 simulation was as follows.
1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1

Estimate the probability that he gets a hit. Round to three decimal places.

A. 0.286

B. 0.452

C. 0.476

D. 0.301

Answer 1

Answer:

Option C) 0.476

Step-by-step explanation:

We are given the following in the question:

1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1

where 1 means that Sam will get a hit and 0 mean Sam will be out.

Total number of outcomes = 42

Number of times Sam will get a hit = n(1) = 20

Number of times Sam will be out = n(0) = 22

We have to find the probability that Sam gets a hit.

Formula:

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

$P(\text{Sam gets a hit}) = \dfrac{n(1)}{42} = \dfrac{20}{42} = 0.476$

Thus, 0.476 is the probability that Sam will get a hit.