Question

A bag has 9 blue cubes, 11 red cubes, and 5 green cubes. If you draw a cube and replace it in the bag 250 times, which of the following amounts would you expect to pull? Select all that apply. A) Pull a green cube 200 times B) Pull a green cube 50 times C) Pull more green cubes than red cubes D) Pull more red cubes than green cubes E) Pull more blue cubes than green cubes

Answer 1

B, D, E

Explanation:

(B) We can find the expected number times that we will draw a green cube by multiplying the quotient of the total number of green cubes present (5) and the the total number of cubes in the bag (9 + 11 + 5 = 25) by the number of trials (250):

(5/25) * 250 = 50

(D) We can find the expected number of times that we will draw a red cube by repeating the same process as (B), but we replace 5 with 11 since there are 11 red cubes:

(11/25) * 250 = 110

110 > 50

(E) Since we already found the expected number of times that we will draw a green and a red cube, we can find the expected number of times that we will draw a blue cube by simply subtracting the sum of these two from 250 since we only draw 250 times:

Red + Green + Blue = 250

110 + 50 + Blue = 250

160 + Blue = 250

Blue = 90

90 > 50