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Answer :
Final answer:
The probability that none of the drawn balls are red is 8/65. Therefore, the correct option is D
Explanation:
To find the probability that none of the drawn balls are red, we need to consider the total number of possible outcomes and the number of favorable outcomes. There are a total of 15 balls in the bag. If three balls are drawn without replacement, the total number of possible outcomes is given by 15C3, which is equal to 455.
The favorable outcomes are those in which all three drawn balls are not red. Since there are 5 white balls and 3 black balls in the bag, the number of ways to choose 3 non-red balls is 8C3, which is equal to 56.
Therefore, the probability that none of the drawn balls are red is given by the ratio of the number of favorable outcomes to the total number of possible outcomes: 56/455. This can be simplified to 8/65. So, the correct answer is D) 8/65.
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