Question

a clothing store owner has shirts on sale this weekend in three sizes: s, m, and l. she runs a simulation of 20 purchases to predict her customers choices of sizes. based on the simulated results, estimate the probability that someone will buy a medium size.
m l m l s l s s m m m l s l l l m m l s
(1 point)
0.333
0.300
0.350
0.700

Explanation:

Step1: Count the number of medium - size (M)

We count the number of 'M's in the sequence "M L M L S L S S S M M M L S L L L M M L S". There are 7 'M's.

Step2: Calculate the probability

The probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the total number of outcomes \(n = 20\) (since there are 20 purchases in the simulation), and the number of favorable outcomes (purchasing a medium - size) \(m=7\). So \(P=\frac{7}{20}=0.35\)

Answer:

0.350