Question

There is an equal amount of yellow, blue, green, and red marbles in a bag of 32 marbles. If Ed draws 4 marbles out of the bag with replacement, predict how many of the 4 marbles drawn should be blue.

1
4
8
32

Answer 1

1) 1

Reasoning:

There are 4 different colors of marbles and 32 total marbles. 32/4 is 8, so there will be 8 of each at the start.

Because Ed picks 4 marbles, and there are 4 colors, we will divide 4 by 4 (4/4) and get 1.

Answer 2

There are 32 marbles in the bag, and 1/4 of them are blue, so there are 32 * 1/4 = 8 blue marbles in the bag.

When Ed draws 4 marbles out of the bag with replacement, the probability of getting a blue marble on any given draw is 1/4.

The number of blue marbles Ed is expected to draw can be found by multiplying the probability of drawing a blue marble on each draw (1/4) by the number of draws (4):

Expected number of blue marbles = (1/4) * 4 = 1

Therefore, Ed is expected to draw 1 blue marble out of the 4 marbles drawn.