Question

each bag below has 7 marbles. deon closes his eyes and picks a marble from each bag. bag a has 4 yellow marbles, 1 red marble, and 2 blue marbles. bag b has 1 yellow marble and 6 red marbles. bag c has 2 yellow marbles and 5 blue marbles. picking a red marble from bag a is _____. certain, likely, unlikely, impossible picking a red marble from bag b is ___. certain, likely, unlikely, impossible picking a red marble from bag c is _____. certain, likely, unlikely, impossible

Explanation:

Step1: Calculate probability for Bag A

The probability of picking a red marble from Bag A is $\frac{1}{7}$ since there is 1 red marble out of 7 total marbles. Since $\frac{1}{7}$ is a small non - zero fraction, it is unlikely.

Step2: Calculate probability for Bag B

The probability of picking a red marble from Bag B is $\frac{6}{7}$ as there are 6 red marbles out of 7 total marbles. Since $\frac{6}{7}$ is close to 1, it is likely.

Step3: Calculate probability for Bag C

The probability of picking a red marble from Bag C is 0 since there are 0 red marbles out of 7 total marbles. So it is impossible.

Answer:

Picking a red marble from Bag A is unlikely.
Picking a red marble from Bag B is likely.
Picking a red marble from Bag C is impossible.