Mr. Lim has a bag with some marbles colored red, yellow, green, blue, and white. The marbles are identical in number. Mr. Lim will conduct a chance experiment by randomly drawing a marble from the bag and then returning it after noting the color. Based on 50 trials, how many green marbles will Mr. Lim expect to pick?(1 point)

1 answer

In this scenario, Mr. Lim has marbles of five different colors: red, yellow, green, blue, and white. Since it’s mentioned that the marbles are identical in number, we can assume that each color is equally likely to be drawn.

Thus, the probability of drawing a green marble in one trial is:

\[ P(\text{green marble}) = \frac{1}{5} \]

Since Mr. Lim is conducting this experiment for 50 trials, the expected number of times he will draw a green marble can be calculated using the formula:

\[ \text{Expected number of green marbles} = \text{Total trials} \times P(\text{green marble}) \]

Substituting the values:

\[ \text{Expected number of green marbles} = 50 \times \frac{1}{5} = 50 \times 0.2 = 10 \]

Thus, Mr. Lim can expect to pick 10 green marbles based on 50 trials.