A bag contains colored marbles. The theoretical probability of Jonah drawing 2 red marbles from the bag with replacement is one fifth. If the experiment is repeated 100 times, what is a reasonable prediction of the number of times he will select 2 red marbles?

one fifth
5
20
25

Respuesta :

Answer:

20

Step-by-step explanation:

We are given the probability of an event occurring once, and we are given the amount of times that event is repeated. The reasonable prediction of the number of times that event will occur is the product of the chance of the event, with the amount of times that event occurs.

Solving:

[tex]Expected number \( = \text{Probability} \times \text{Number of experiments} \)\[\text{Expected number} = \frac{1}{5} \times 100\]\[\text{Expected number} = \left(\frac{1}{5}\right) \times 100\]\[\text{Expected number:}\left(\frac{1}{5}\right) \times 100 = \boxed{20}\][/tex]

Therefore, the expected number of times Jonah will select 2 red marbles is: 20 times.