Question

A bag is filled with an equal number of red, yellow, green, blue, and purple marbles. The theoretical probability of Jonah drawing 2 yellow marbles from the bag with replacement is one-fifth. If the experiment is repeated 200 times, what is a reasonable prediction of the number of times he will select 2 yellow marbles?

40
25
5
one fifth

Answer 1

the answer would be 40 i believe

Answer 2

40

Explanation:

The theoretical probability of drawing 2 yellow marbles from the bag with replacement is one-fifth, which can be represented as 1/5.

If the experiment is repeated 200 times, we can make a reasonable prediction of the number of times Jonah will select 2 yellow marbles by calculating the expected value.

Expected value = Probability of an event × Number of trials

In this case, the probability of selecting 2 yellow marbles is 1/5, and the number of trials is 200.

Expected value = (1/5) × 200

Expected value = 40

Therefore, a reasonable prediction is that Jonah will select 2 yellow marbles approximately 40 times out of the 200 repetitions.