Question

each bag below has 8 marbles. mary closes her eyes and picks a marble from each bag. bag a has 7 yellow marbles and 1 red marble. bag b has 1 yellow marble, 2 red marbles, and 5 blue marbles. bag c has 8 yellow marbles. picking a yellow marble from bag a is ___. certain likely unlikely impossible picking a yellow marble from bag b is _. certain likely unlikely impossible picking a yellow marble from bag c is ___. certain likely unlikely impossible

Explanation:

Step1: Calculate probability for Bag A

The probability of picking a yellow marble from Bag A is $\frac{7}{8}$ since there are 7 yellow marbles out of 8 total marbles. Since $\frac{7}{8}$ is close to 1, it is likely.

Step2: Calculate probability for Bag B

The probability of picking a yellow marble from Bag B is $\frac{1}{8}$ as there is 1 yellow marble out of 8 total marbles. Since $\frac{1}{8}$ is close to 0, it is unlikely.

Step3: Calculate probability for Bag C

The probability of picking a yellow marble from Bag C is $\frac{8}{8}=1$ as all 8 marbles are yellow. So it is certain.

Answer:

Picking a yellow marble from Bag A is likely.
Picking a yellow marble from Bag B is unlikely.
Picking a yellow marble from Bag C is certain.