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An urn contain 6 orange, 4 green,3 pink and 4 black balls.
Q.
If 3 balls are drawn at random, what is the probability that 1 is green and the other 2 are black ?
- a)2/85
- b)4/87
- c)1/85
- d)3/85
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
An urn contain 6 orange, 4 green,3 pink and 4 black balls.Q. If 3 ball...
17C3 = 17*16*15/3*2*1 = 4080/6 = 680
4C1 × 4C2 = 4*4*3/2*1 = 24
P = 24/680 = 3/85
4C1 × 4C2 = 4*4*3/2*1 = 24
P = 24/680 = 3/85
Most Upvoted Answer
An urn contain 6 orange, 4 green,3 pink and 4 black balls.Q. If 3 ball...
Given:
- Urn contains 6 orange, 4 green, 3 pink, and 4 black balls.
- 3 balls are drawn at random.
To find:
- Probability that 1 ball is green and the other 2 balls are black.
Solution:
To find the probability, we need to calculate the total number of favorable outcomes and the total number of possible outcomes.
Total number of favorable outcomes:
To have 1 green and 2 black balls, we can select 1 green ball from the 4 green balls and 2 black balls from the 4 black balls. This can be done in the following way:
- Number of ways to select 1 green ball = 4C1
- Number of ways to select 2 black balls = 4C2
The total number of favorable outcomes = 4C1 * 4C2 = 4 * 6 = 24
Total number of possible outcomes:
To calculate the total number of possible outcomes, we need to select 3 balls from the total number of balls in the urn.
- Total number of balls in the urn = 6 + 4 + 3 + 4 = 17
- Number of ways to select 3 balls = 17C3
The total number of possible outcomes = 17C3 = (17 * 16 * 15)/(3 * 2 * 1) = 680
Calculating the probability:
Probability = (Number of favorable outcomes)/(Number of possible outcomes)
Probability = 24/680 = 3/85
Therefore, the probability that 1 ball is green and the other 2 balls are black is 3/85.
Answer:
The correct answer is option D) 3/85.
- Urn contains 6 orange, 4 green, 3 pink, and 4 black balls.
- 3 balls are drawn at random.
To find:
- Probability that 1 ball is green and the other 2 balls are black.
Solution:
To find the probability, we need to calculate the total number of favorable outcomes and the total number of possible outcomes.
Total number of favorable outcomes:
To have 1 green and 2 black balls, we can select 1 green ball from the 4 green balls and 2 black balls from the 4 black balls. This can be done in the following way:
- Number of ways to select 1 green ball = 4C1
- Number of ways to select 2 black balls = 4C2
The total number of favorable outcomes = 4C1 * 4C2 = 4 * 6 = 24
Total number of possible outcomes:
To calculate the total number of possible outcomes, we need to select 3 balls from the total number of balls in the urn.
- Total number of balls in the urn = 6 + 4 + 3 + 4 = 17
- Number of ways to select 3 balls = 17C3
The total number of possible outcomes = 17C3 = (17 * 16 * 15)/(3 * 2 * 1) = 680
Calculating the probability:
Probability = (Number of favorable outcomes)/(Number of possible outcomes)
Probability = 24/680 = 3/85
Therefore, the probability that 1 ball is green and the other 2 balls are black is 3/85.
Answer:
The correct answer is option D) 3/85.
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Community Answer
An urn contain 6 orange, 4 green,3 pink and 4 black balls.Q. If 3 ball...
17C3 = 17*16*15/3*2*1 = 4080/6 = 680
4C1 × 4C2 = 4*4*3/2*1 = 24
P = 24/680 = 3/85
4C1 × 4C2 = 4*4*3/2*1 = 24
P = 24/680 = 3/85
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An urn contain 6 orange, 4 green,3 pink and 4 black balls.Q. If 3 balls are drawn at random, what is the probability that 1 is green and the other 2 are black ?a)2/85b)4/87c)1/85d)3/85Correct answer is option 'D'. Can you explain this answer?
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An urn contain 6 orange, 4 green,3 pink and 4 black balls.Q. If 3 balls are drawn at random, what is the probability that 1 is green and the other 2 are black ?a)2/85b)4/87c)1/85d)3/85Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about An urn contain 6 orange, 4 green,3 pink and 4 black balls.Q. If 3 balls are drawn at random, what is the probability that 1 is green and the other 2 are black ?a)2/85b)4/87c)1/85d)3/85Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An urn contain 6 orange, 4 green,3 pink and 4 black balls.Q. If 3 balls are drawn at random, what is the probability that 1 is green and the other 2 are black ?a)2/85b)4/87c)1/85d)3/85Correct answer is option 'D'. Can you explain this answer?.
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