Question

matching 5 points
a bag contains 9 red marbles, 3 blue marbles, 3 green marbles, and 3 yellow marbles. determine whether each statement correctly describes the likelihood of an event. select true or false for each statement.
the probability that a red marble is selected is 1.
the probability that a yellow marble is selected is 0.
the probabilities of selecting a blue marble, a green marble, or a yellow marble are equal.
true
false

Explanation:

Step1: Calculate total marbles

Total marbles: $9 + 3 + 3 + 3 = 18$

Step2: Check red marble probability

Probability of red: $\frac{9}{18} = 0.5
eq 1$

Step3: Check yellow marble probability

Probability of yellow: $\frac{3}{18} = \frac{1}{6}
eq 0$

Step4: Check equal probabilities

Blue, green, yellow each have 3 marbles. Their probabilities: $\frac{3}{18} = \frac{1}{6}$ for each, so equal.

Answer:

1. The probability that a red marble is selected is 1. → False
2. The probability that a yellow marble is selected is 0. → False
3. The probabilities of selecting a blue marble, a green marble, or a yellow marble are equal. → True