Question

From the experimental data it is observed that there is a $20\%$ chance that sweaters will be sold on any given day of summer. Run the simulation which has digits from 1 through 5 to find the estimate of the experimental probability that the sweater will be sold in the 3 days of a 10-day sample.
Note: Take 1 representing sweater sold.
Simulated data shows the following:

$\text{Trial}1:2,1,3,4,5,5,3,1,1,2$
$\text{Trial}2:1,2,5,4,3,5,4,2,1,3$
$\text{Trial}3:2,1,3,5,4,2,1,3,4.5$
$\text{Trial}4:1,2,5,4,3,2,5,4,3,2$
$\text{Trial}5:2,1,5,3,4,5,2,4,2,5$

• A. $20\%$
• B. $12.5\%$
• C. $40\%$
• D. $35\%$

Answer 1

The correct option is D $35\%$

Since there is a $20\%$ chance of selling a sweater in summer which is the same as 1 out of 5 chances, let us choose 1 as the sweater being sold and all the other digits in the simulation, i.e., 2, 3, 4, and 5 as sweaters not being sold.

Running the simulation 5 times, we see that in trial 1 the sweater is sold 3 out of 10 days.

Therefore, the estimated probability of the sweater being sold 3 days out of 10 days is
$\frac{1}{5}=\frac{1}{5}\times 100=20\%$