Question

a bag contains four red marbles, three yellow marbles, and three purple marbles. you will randomly select one marble from the bag. which statements are true regarding the scenario? choose three correct answers. the probability you select a purple marble is $\frac{3}{10}$. the probability you select a yellow marble is 3. the probability you select a green marble is 0.

Explanation:

Step1: Calculate total number of marbles

Total marbles = \(4 + 3+3=10\)

Step2: Calculate probability of purple marble

Probability \(P(\text{purple})=\frac{\text{Number of purple marbles}}{\text{Total marbles}}=\frac{3}{10}\)

Step3: Calculate probability of yellow marble

Probability \(P(\text{yellow})=\frac{\text{Number of yellow marbles}}{\text{Total marbles}}=\frac{3}{10}
eq3\)

Step4: Calculate probability of green marble

Since there are no green marbles, \(P(\text{green}) = 0\)

Answer:

The probability you select a purple marble is \(\frac{3}{10}\) (correct), The probability you select a green marble is \(0\) (correct)