a bag contains 5 blue, 4 red, 9 white, and 6 green marbles. if a marble is drawn at random and replaced 100 times, how many would you expect to draw a green marble?
(6/24) * 100 = ?
6.88
(6/24)=0.25x100=25%
the answer is 25%
To find the expected number of green marbles drawn when one is replaced 100 times, we need to calculate the probability of drawing a green marble on each draw and then multiply it by the total number of draws.
The probability of drawing a green marble on any given draw is the ratio of the number of green marbles to the total number of marbles.
Total number of marbles = 5 (blue) + 4 (red) + 9 (white) + 6 (green) = 24
So, the probability of drawing a green marble on any given draw is 6/24 = 1/4.
Since each draw is independent and the marbles are replaced after each draw, the probability remains the same for each draw.
Now, to find the expected number of green marbles drawn, we can multiply the probability of drawing a green marble (1/4) by the total number of draws (100):
Expected number of green marbles drawn = (1/4) * 100 = 25
Therefore, you would expect to draw 25 green marbles when a marble is drawn at random and replaced 100 times.