Question

a marble is selected at random from a jar containing 3 red marbles, 2 yellow marbles, and 4 green marbles. what is the probability that the marble is red? what is the probability that the marble is red?

Explanation:

Step1: Calculate total number of marbles

There are 3 red, 2 yellow, and 4 green marbles. So total marbles = \(3 + 2 + 4 = 9\).

Step2: Calculate probability of red marble

Probability of an event is number of favorable outcomes over total outcomes. Favorable (red) = 3, total = 9. So probability = \(\frac{3}{9}=\frac{1}{3}\).

Answer:

\(\frac{1}{3}\)