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A basket contains red balls, green balls, and white balls. There are 12 red balls in the basket. The probability of randomly choosing a red ball is 1 in 3. If the probability of randomly choosing a green ball is 1 in 4, how many green balls are in the basket?

A. 3
B. 8
C. 9
D. 16

1 Answer

5 votes

Final answer:

The total number of balls in the basket is 36, calculated from the 12 red balls and their 1 in 3 selection probability. Dividing the total by the 1 in 4 probability for the green balls gives us 9 green balls.

Step-by-step explanation:

The question asks us to determine how many green balls are in a basket, given that the probability of randomly choosing a red ball is 1 in 3, and there are 12 red balls in total. The probability of selecting a green ball is 1 in 4. To find out how many green balls are in the basket, we need to establish the total number of balls in the basket based on the probability of picking a red ball.

Since the probability of choosing a red ball is 1 in 3, for every red ball there should be two more of other colors, making the total 3 balls for every single red ball. This means the total number of balls in the basket should be 3 times the number of red balls, which is 3 * 12 = 36 balls. Now, to find the number of green balls, we can use the fact that the probability of choosing a green ball is 1 in 4. Since the total number of balls is 36, we divide this number by 4, giving us 36 / 4 = 9 green balls.

The correct answer to the question is therefore C. 9 green balls.

User Mitja Bonca
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