Question

each bag below has 6 marbles. mary closes her eyes and picks a marble from each bag.
bag a
bag a has 1 yellow marble,
4 red marbles, and 1 blue
marble.
bag b
bag b has 1 red marble and
5 blue marbles.
bag c
bag c has 5 yellow marbles
and 1 red marble.
picking a blue marble from
bag a is _.
certain
likely
unlikely
picking a blue marble from
bag b is _.
certain
likely
unlikely
picking a blue marble from
bag c is _.
certain
likely
unlikely

Explanation:

Step1: Calculate probability for Bag A

Bag A has 6 marbles in total and 1 blue marble. The probability of picking a blue marble is $\frac{1}{6}$, which is a small chance, so it is unlikely.

Step2: Calculate probability for Bag B

Bag B has 6 marbles in total and 5 blue marbles. The probability of picking a blue marble is $\frac{5}{6}$, which is a high chance, so it is likely.

Step3: Calculate probability for Bag C

Bag C has 6 marbles in total and 0 blue marbles. The probability of picking a blue marble is $0$, so it is impossible (equivalent to unlikely in the given options as there is no impossible option).

Answer:

Bag A: unlikely, Bag B: likely, Bag C: unlikely.