Question 4

The probability of drawing a green ball is 0.1.

To find the probability of drawing a green ball, we can use the fact that the total probability of all outcomes must equal 1. Given that the probability of drawing a red ball is 0.3 and the probability of drawing a blue ball is 0.6, we can calculate the probability of drawing a green ball as 1 - (0.3 + 0.6) = 0.1.

A) 0.1

This option is correct because it accurately represents the remaining probability after accounting for the red and blue balls. The calculation confirms that 0.1 is the probability of drawing a green ball, as it fulfills the requirement that the total probability sums to 1.

B) 0.3

This option is incorrect because it suggests that the probability of drawing a green ball is equal to that of drawing a red ball. Since the total probability must equal 1 and the probabilities for red and blue balls already sum to 0.9, a probability of 0.3 for green would exceed that total.

C) 0.5

This option is incorrect as it implies that the probability of drawing a green ball is 0.5, which would also cause the total probabilities to exceed 1 when combined with the probabilities of red and blue balls. The calculation shows that the correct probability must be lower to maintain the total at 1.

D) 0.9

This option is incorrect because it suggests that the probability of drawing a green ball is higher than the total probability available after accounting for the red and blue balls. Since the combined probabilities of red and blue are already 0.9, it is impossible for green to have a probability of 0.9.

Conclusion

The correct answer is 0.1 because it is the only option that maintains the total probability of all possible outcomes equal to 1. All other options fail because they either exceed the total probability or misrepresent the remaining probability after accounting for the other two colors.