Question

A game has 15 balls for each of the letters B, I, N, G, and O. The table shows the results of drawing balls 1,250 times.

Letter Frequency
B 247
I . 272
N 238
G 241
O 252

For which letter is the experimental probability closest to the theoretical probability?
A. I
B. N
C. G
D. O

Answer 1

252 D-O

Explanation:

250 and theoretically 252

Answer 2

Theoretically, each letter should have the same probability of occurring since there are 15 of each. There are 5 letters that can be drawn, so there is a total of 75 balls, and each letter has a probability
`(15)/(75)=\frac15` of being drawn.

This means one would expect a theoretical frequency of
`\frac{1250}5=250`, i.e. any given letter should get drawn 250 times, which means the answer is D.