To solve this problem, we need to understand that the balls are drawn without replacement, meaning the total number of balls decreases with each draw.

1. Initially, the bag contains 12 balls (3 blue, 4 red, 5 yellow).

2. The first ball drawn is red, so now there are 11 balls left in the bag (3 blue, 3 red, 5 yellow).

3. The second ball drawn is yellow, so now there are 10 balls left in the bag (3 blue, 3 red, 4 yellow).

4. We want to find the probability that the third ball drawn is yellow.

5. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes.

6. In this case, the favorable outcome is drawing a yellow ball, and there are 4 yellow balls left. The total number of outcomes is the total number of balls left, which is 10.

7. Therefore, the probability that the third ball drawn is yellow is 4/10 = 0.4 or 40%.

Question

To solve this problem, we need to understand that the balls are drawn without replacement, meaning the total number of balls decreases with each draw.

1. Initially, the bag contains 12 balls (3 blue, 4 red, 5 yellow).

2. The first ball drawn is red, so now there are 11 balls left in the bag (3 blue, 3 red, 5 yellow).

3. The second ball drawn is yellow, so now there are 10 balls left in the bag (3 blue, 3 red, 4 yellow).

4. We want to find the probability that the third ball drawn is yellow.

5. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes.

6. In this case, the favorable outcome is drawing a yellow ball, and there are 4 yellow balls left. The total number of outcomes is the total number of balls left, which is 10.

7. Therefore, the probability that the third ball drawn is yellow is 4/10 = 0.4 or 40%.

Knowee AI · Accepted Answer