Question

Dylan has a bag containing 15 marbles. The table below shows the number ofmarbles of each color in the bag. As part of a probability experiment for his scienceclass, Dylan randomly picks a marble from the bag and the replaces it. He repeatsthis 300 times.Dylan randomly picks a marble from the bag. What is the probability the marble willbe red?A. 3/15B. 8/15C. 7/15D. 1/15

Answer 1

Explanation

Since Dylan replaces the picked marble everytime, each pick is independent from the others.

From the numbers, we can see that we have 8 red marbles and, adding them all we can get the total number of marbles:

$3+8+3+1=15$

So, the probability will be the number of possible outcomes we want, which is 8 because there are 8 red marbles, divided by the total number of possible outcomes, which is 15, the total number of marbles:

$P=\frac{8}{15}$

Answer

The probability is 8/15.