Questions: A bag contains five green balls, four red balls, and three yellow balls. If one ball is randomly selected from the bag, which of the following is the probability that the ball is red? 1 / 3 1 / 2 1 / 4 5/12

Solution Steps

To find the probability of selecting a red ball from the bag, we need to determine the ratio of the number of red balls to the total number of balls.

1. Calculate the total number of balls in the bag.
2. Determine the number of red balls.
3. Compute the probability as the ratio of red balls to the total number of balls.

The total number of balls in the bag is the sum of green, red, and yellow balls: \[ \text{Total balls} = 5 + 4 + 3 = 12 \]

The number of red balls in the bag is: \[ \text{Red balls} = 4 \]

The probability of selecting a red ball is the ratio of the number of red balls to the total number of balls: \[ P(\text{Red}) = \frac{\text{Red balls}}{\text{Total balls}} = \frac{4}{12} = \frac{1}{3} \approx 0.3333 \]

Final Answer