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A bag contains 15 red balls and 20 black balls. Each ball is numbered either 1 or 2 or 3. 20% of the red balls are numbered 1 and 40% of them are numbered 3. Similarly, among the black balls, 45% are numbered 2 and 30% are numbered 3. A boy picks a ball at random. He wins if the ball is red and numbered 3 or if it is black and numbered 1 or 2. What are the chances of his winning?
  • a)
    ½
  • b)
    4/7
  • c)
    5/9
  • d)
    12/13
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A bag contains 15 red balls and 20 black balls. Each ball is numbered ...
First, we need to find the probability of picking a red ball numbered 3.
The probability of picking a red ball numbered 3 is 0.4 * 15/35 (since there are 15 red balls and a total of 35 balls).
This simplifies to 0.1714.

Next, we need to find the probability of picking a black ball numbered 1 or 2.
The probability of picking a black ball numbered 1 or 2 is (0.45 + 0.45) * 20/35 (since there are 20 black balls and a total of 35 balls).
This simplifies to 0.5143.

Finally, we need to find the overall probability of winning.
The overall probability of winning is the sum of the probability of picking a red ball numbered 3 and the probability of picking a black ball numbered 1 or 2.
So, the overall probability of winning is 0.1714 + 0.5143 = 0.6857.

Therefore, the chances of winning are 68.57%.
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A bag contains 15 red balls and 20 black balls. Each ball is numbered ...
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A bag contains 15 red balls and 20 black balls. Each ball is numbered either 1 or 2 or 3. 20% of the red balls are numbered 1 and 40% of them are numbered 3. Similarly, among the black balls, 45% are numbered 2 and 30% are numbered 3. A boy picks a ball at random. He wins if the ball is red and numbered 3 or if it is black and numbered 1 or 2. What are the chances of his winning?a)½b)4/7c)5/9d)12/13Correct answer is option 'B'. Can you explain this answer?
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A bag contains 15 red balls and 20 black balls. Each ball is numbered either 1 or 2 or 3. 20% of the red balls are numbered 1 and 40% of them are numbered 3. Similarly, among the black balls, 45% are numbered 2 and 30% are numbered 3. A boy picks a ball at random. He wins if the ball is red and numbered 3 or if it is black and numbered 1 or 2. What are the chances of his winning?a)½b)4/7c)5/9d)12/13Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A bag contains 15 red balls and 20 black balls. Each ball is numbered either 1 or 2 or 3. 20% of the red balls are numbered 1 and 40% of them are numbered 3. Similarly, among the black balls, 45% are numbered 2 and 30% are numbered 3. A boy picks a ball at random. He wins if the ball is red and numbered 3 or if it is black and numbered 1 or 2. What are the chances of his winning?a)½b)4/7c)5/9d)12/13Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains 15 red balls and 20 black balls. Each ball is numbered either 1 or 2 or 3. 20% of the red balls are numbered 1 and 40% of them are numbered 3. Similarly, among the black balls, 45% are numbered 2 and 30% are numbered 3. A boy picks a ball at random. He wins if the ball is red and numbered 3 or if it is black and numbered 1 or 2. What are the chances of his winning?a)½b)4/7c)5/9d)12/13Correct answer is option 'B'. Can you explain this answer?.
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