Question

The table below shows the number of painted pebbles of Claire and Laura. If Greg chooses a pebble at random from the box 75 times, replacing the pebble each time, how many times should he expect to choose a yellow pebble?

A) 11

B) 33

C) 32

D) 22

Answer 1

Answer
The number of times that Greg chooses a yellow pebble is 22 times.
Finding the number of choices:
To find the number of possible choices, calculate the number of chances in the total number of
outcomes.
Since we need to find the number of choices that are expecting a yellow pebble, find the total number of yellow pebbles in the number of pebbles in both Claire and Laura's cases and find the total number of yellow pebbles.
Here we have
A table below shows the number of painted pebbles by Claire and Laura
From the table,
Number of pebbles that Laura painted = 8 yellow,
7 green, 10 blue
Number of pebbles that Claire painted = 14
yellow, 5 green, 6 blue
Total number of yellow pebbles = 8 + 14 = 22
Given that
Greg chooses a pebble at random from the box 75 times, and each time replaces the pebble
Hence, the number of time that Greg get yellow
pebble = number of yellow pebbles
Therefore,
The number of times that Greg chooses a yellow pebble is 22 times.

Answer 2

B) 33 times.

Explanation:

The total amount of pebbles is 50. There is 22 yellow pebbles.

Note that 3/2 * 50 is 75. 3/2 * 22 = 33.

He should expect to choose a yellow pebble B) 33 times.