A bag contains 20 marbles: 9 red, 5 blue, 3 green, and 3 yellow. A marble will be drawn from the bag and replaced 50 times. What is a reasonable prediction for the number of times a green or yellow marble will be drawn?
there are 6 marbles that are green or yellow
there are 20 marbles in all.
P(green or yellow) = 6/20 = 0.30
So, what do you think?
To make a reasonable prediction for the number of times a green or yellow marble will be drawn, we need to calculate the probability of drawing a green or yellow marble on each draw.
There are a total of 20 marbles in the bag, so the probability of drawing a green or yellow marble on any given draw is (3 green + 3 yellow) / 20 = 6/20 = 0.3.
Since each draw is independent and with replacement, the probability for each draw remains the same at 0.3.
To predict the number of times a green or yellow marble will be drawn in 50 draws, we multiply the probability by the number of draws:
Prediction = Probability × Number of Draws
Prediction = 0.3 × 50
Prediction = 15
Therefore, a reasonable prediction for the number of times a green or yellow marble will be drawn in 50 draws is 15.