Mr lim hasa bag with some marbles colored red, yellow, green, blue, white. The marbles are identical in numbers. Mr lim will conduct a chance experiment by randomly drawing a marble from the bag and render returning it after noting the color. Based on 50 trials how many green marbles willmr. Lim expect to pick?
If the marbles are identical in numbers, then we can assume there are 5 marbles of each color in the bag.
The probability of picking a green marble in one trial is 1/5, since there are 5 colors of marbles in the bag and they are all equally likely to be picked.
Using the formula for expected value, we can calculate the expected number of green marbles picked in 50 trials:
Expected number of green marbles = (number of trials) x (probability of picking a green marble)
Expected number of green marbles = 50 x 1/5
Expected number of green marbles = 10
Therefore, Mr. Lim can expect to pick 10 green marbles in 50 trials.
To find out how many green marbles Mr. Lim can expect to pick, we need to find the probability of picking a green marble and multiply it by the total number of trials.
Given that the marbles are identical in numbers, we can assume that each color has the same number of marbles. Let's say there are "n" marbles of each color.
Since Mr. Lim randomly draws a marble from the bag and returns it after noting the color, the probability of picking a green marble would be the same as the ratio of the number of green marbles to the total number of marbles.
The probability of picking a green marble is:
P(green) = (number of green marbles) / (total number of marbles) = n / (n * 5) = 1/5
Now, we can multiply the probability of picking a green marble by the total number of trials (50) to find how many green marbles Mr. Lim can expect to pick.
Expected number of green marbles = P(green) * Total number of trials
= (1/5) * 50
= 10
Therefore, Mr. Lim can expect to pick 10 green marbles out of 50 trials.