Rajindri is conducting a probability experiment with two bags of marbles. For each trial, Rajindri draws a marble from each bag, records their colors, and returns the marbles to their bags.%0D%0A%0D%0A The first bag contains:%0D%0A%0D%0A • 2 red marbles%0D%0A%0D%0A • 1 green marble%0D%0A%0D%0A • 3 blue marbles%0D%0A%0D%0A The second bag contains:%0D%0A%0D%0A • 1 red marble%0D%0A%0D%0A • 2 green ma%0D%0A • 2 blue marbles%0D%0AIn 40 trials, what is a reasonable prediction for the number of trials that a blue marble will be drawn from both bags?
To find the probability of drawing a blue marble from both bags in one trial, we multiply the probability of drawing a blue marble from the first bag by the probability of drawing a blue marble from the second bag.
Probability of drawing a blue marble from the first bag = 3/6 = 1/2
Probability of drawing a blue marble from the second bag = 2/5
Multiplying these probabilities together:
(1/2) * (2/5) = 1/5
So, the probability of drawing a blue marble from both bags in one trial is 1/5.
Given that there are 40 trials, a reasonable prediction for the number of trials in which a blue marble will be drawn from both bags is 40 * (1/5) = 8 trials.