A bag contains 2 blue marbles, 2 red marbles, and 2 yellow marbles.

If Jenna randomly draws a marble from the bag, what is the probability that she will pull a yellow marble?

1 answer

To find the probability that Jenna draws a yellow marble from the bag, we first need to determine the total number of marbles and the number of yellow marbles.

The bag contains:

  • 2 blue marbles
  • 2 red marbles
  • 2 yellow marbles

The total number of marbles is: \[ 2 \text{ (blue)} + 2 \text{ (red)} + 2 \text{ (yellow)} = 6 \text{ marbles} \]

The number of yellow marbles is 2.

The probability of drawing a yellow marble is given by the formula: \[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

Substituting the known values: \[ \text{Probability} = \frac{2 \text{ (yellow marbles)}}{6 \text{ (total marbles)}} = \frac{2}{6} = \frac{1}{3} \]

Thus, the probability that Jenna will pull a yellow marble is \(\frac{1}{3}\).