Question

It is estimated that there is a $80\%$ chance that the customer entering the shoe store purchases a pair of shoes and $60\%$ chance that the customer purchases a pair of socks. Using a simulator that generates two-digit numbers using the digits 1 through 5, estimate the probability that the customer purchases shoes along with socks.
Note: The ones place of a two-digit number, and 1, 2, and 3 represent people buying socks.
The tens place of a two-digit number, and 1, 2, 3, and 4 represent people buying shoes.

33	43	31	43	55	52	32	22	53	21
13	43	54	25	54	12	31	44	45	34
53	44	21	51	32	25	11	44	51	41
54	14	35	31	51	54	55	24	35	44
52	45	51	43	54	53	55	45	41	52

Answer 1

The ones place of a two-digit number represents people purchasing socks.

Since there is a $60\%$ chance of purchasing socks, let 1, 2, and 3 represent a person who purchases socks.

The tens place of the two-digit number represents people purchasing shoes.
Since there is a $80\%$ chance of purchasing shoes, let 1, 2, 3, and 4 represent customers purchasing socks.

From the simulation, we see that 22 out of 50 people purchase shoes as well as socks.

Estimated probability $=\frac{22}{50}\times 100=44\%$