Question

A bag contains blue yellow red and orange blocks. Tai randomly chose a block from the bag. Recorded the color and then put it back. He did this 10 times. He chose 6 blue, 2 yellow, 1 red and 1 orange
A.) based on Tais results, find the experimental probability of selecting a blue block and the experimental probability of selecting a red block?

B.) he dumped out the blocks to find 16 blue, 10 yellow, 8 red, and 6 orange blocks. What is the theoretical probability of selecting a blue block? A red?

C.) are the experimental probabilities you found in “A” equal to the ones you found in “B”? Explain why or why not.

D.) If he randomly selects 200 blocks from the bag(replacing before grabbing a new one) about how many times can he expect to grab each color?

Answer 1

Answer:

A)

Blue: $\frac{6}{10} =\frac{3}{5}$

Red: $\frac{1}{10}$

B)

Blue: $\frac{16}{40} =\frac{2}{5}$

Red: $\frac{8}{40} =\frac{1}{5}$

C)

No the experimental probabilities found in "A" are not equal to the probabilities found in "B". The sample size of the the experiment was not large enough to reflect the actual probability.

D)

Blue: 80

Yellow: 50

Red: 40

Orange: 30