Question

bag a has 5 red marbles and 3 blue marbles. bag b has 7 yellow marbles and 1 blue marble. bag c has 1 yellow marble, 3 red marbles, and 4 blue 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 unlikely impossible

Explanation:

Bag A

Step1: Check marble colors

Bag A has red and blue marbles, no yellow marbles.

Step2: Determine possibility

Since there are no yellow marbles, picking a yellow marble is impossible.

Bag B

Step1: Calculate total marbles

Total marbles in Bag B: \(7 + 1=8\)

Step2: Calculate probability of yellow

Probability of yellow: \(\frac{7}{8}\). Since \(\frac{7}{8}\) is close to \(1\), it is likely.

Bag C

Step1: Calculate total marbles

Total marbles in Bag C: \(1+3 + 4=8\)

Step2: Calculate probability of yellow

Probability of yellow: \(\frac{1}{8}\). Since \(\frac{1}{8}\) is a small value, it is unlikely.

Answer:

Bag A: impossible; Bag B: likely; Bag C: unlikely