a bag contains 5 blue, 4 red, 9 white, and 6 green marbles. I f a marble is drawn at random and replaced 100 times, how many times would you expect to draw a green marble?
To find out how many times you would expect to draw a green marble, you need to calculate the probability of drawing a green marble and then multiply it by the number of times the marble is drawn.
Step 1: Calculate the probability of drawing a green marble.
There are a total of 5 + 4 + 9 + 6 = 24 marbles in the bag.
The probability of drawing a green marble is 6/24 since there are 6 green marbles out of 24 total marbles.
Simplifying 6/24 gives 1/4.
Step 2: Multiply the probability of drawing a green marble by the number of times the marble is drawn.
Since the marble is drawn 100 times, multiply the probability (1/4) by 100.
1/4 * 100 = 25.
Therefore, you would expect to draw a green marble approximately 25 times when drawing a marble randomly and replacing it 100 times.
To find out how many times you would expect to draw a green marble, you need to calculate the probability of drawing a green marble and then multiply it by the number of times you are drawing marbles.
Step 1: Calculate the probability of drawing a green marble:
- The total number of marbles in the bag is 5 (blue) + 4 (red) + 9 (white) + 6 (green) = 24.
- The number of green marbles is 6.
- Therefore, the probability of drawing a green marble is 6/24.
Step 2: Multiply the probability by the number of times you are drawing marbles:
- Since you are replacing the marble after each draw, the probability remains the same for each draw.
- So, multiply the probability of drawing a green marble (6/24) by the number of times you are drawing marbles (100): (6/24) * 100 = 600/24 ≈ 25.
Therefore, you would expect to draw a green marble approximately 25 times if you draw a marble at random and replace it 100 times.