A bag contains five green balls, four red balls, and three yellow balls. If one ball is randomly selected from the bag, what is the probability that the ball is red?

Rationale

12/4 is the correct probability of selecting a red ball from the bag.

This is calculated by dividing the number of red balls by the total number of balls. In this case, there are four red balls and the total number of balls is twelve (five green, four red, and three yellow). So, the probability of selecting a red ball is 4/12 or simplified to 1/3 which is represented as 12-Apr in the choice.

A (12/4) CORRECT

This is the correct answer. The probability is calculated by dividing the number of red balls (4) by the total number of balls (12). Therefore, the probability that the ball is red is 4/12 or 1/3, which is represented as 12-Apr in the choices.

B (12/5) YOUR ANSWER

This choice suggests the probability is 5/12, which is incorrect. There are only four red balls in the bag, not five. Therefore, the probability cannot be 5/12.

C (4/1) YOUR ANSWER

This choice suggests the probability is 1/4, which is incorrect. Though there are four red balls, the total number of balls is not 4 but 12. Therefore, the probability cannot be 1/4.

D (2/1) YOUR ANSWER

This choice suggests the probability is 1/2, which is incorrect. The number of red balls is less than half of the total number of balls in the bag. Therefore, the probability cannot be 1/2.

Conclusion

The probability of selecting a red ball from the bag is calculated by dividing the number of red balls (4) by the total number of balls (12). This gives a probability of 1/3, or 12-Apr. The other options incorrectly calculate the probability by either miscounting the number of red balls or the total number of balls.

A bag contains five green balls, four red balls, and three yellow balls. If one ball is randomly selected from the bag, what is the probability that the ball is red?

12/4 is the correct probability of selecting a red ball from the bag.

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