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A bag contains 8 red and 5 white balls. Two successive draws of 3 balls are made without replacement. The probability that the first draw will produce 3 white balls and the second 3 red balls is
  • a)
    5/223
  • b)
    6/257
  • c)
    7/429
  • d)
    3/548
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A bag contains 8 red and 5 white balls. Two successive draws of 3 ball...
Given:
- A bag contains 8 red and 5 white balls
- Two successive draws of 3 balls are made without replacement
To find:
- Probability that the first draw will produce 3 white balls and the second 3 red balls

Solution:
Total number of ways to draw 3 balls out of 13 = C(13,3) = 286

Number of ways to draw 3 white balls out of 5 = C(5,3) = 10

Number of ways to draw 3 red balls out of 8 = C(8,3) = 56

Therefore, the probability of drawing 3 white balls in the first draw and 3 red balls in the second draw is:
= (10/286) * (56/283) [After drawing 3 white balls, there will be 8 red balls and 4 white balls left in the bag]
= 7/429

Hence, the correct option is (c) 7/429.
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A bag contains 8 red and 5 white balls. Two successive draws of 3 balls are made without replacement. The probability that the first draw will produce 3 white balls and the second 3 red balls isa)5/223b)6/257c)7/429d)3/548Correct answer is option 'C'. Can you explain this answer?
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A bag contains 8 red and 5 white balls. Two successive draws of 3 balls are made without replacement. The probability that the first draw will produce 3 white balls and the second 3 red balls isa)5/223b)6/257c)7/429d)3/548Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A bag contains 8 red and 5 white balls. Two successive draws of 3 balls are made without replacement. The probability that the first draw will produce 3 white balls and the second 3 red balls isa)5/223b)6/257c)7/429d)3/548Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains 8 red and 5 white balls. Two successive draws of 3 balls are made without replacement. The probability that the first draw will produce 3 white balls and the second 3 red balls isa)5/223b)6/257c)7/429d)3/548Correct answer is option 'C'. Can you explain this answer?.
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