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An urn contains 6 maroon, 3 pink and 4 white balls. If three balls are drawn What is the probability that all are pink or white?
- a)11/328
- b)7/212
- c)5/286
- d)9/127
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
An urn contains 6 maroon, 3 pink and 4 white balls. If three balls are...
P =3C3/13C3 + 4C3/13C3
= 1/286 + 4/286 = 5/26
Most Upvoted Answer
An urn contains 6 maroon, 3 pink and 4 white balls. If three balls are...
Calculating the Probability of Drawing Three Pink or White Balls
To find the probability of drawing three pink or white balls from the urn, we first need to determine the total number of ways to draw three balls from the urn and then calculate the number of ways to draw three pink or white balls.
Total Number of Ways to Draw Three Balls
- Total number of balls in the urn = 6 maroon + 3 pink + 4 white = 13 balls
- Number of ways to draw 3 balls out of 13 = 13C3 = 286
Number of Ways to Draw Three Pink or White Balls
- Number of pink balls = 3
- Number of white balls = 4
- Number of ways to draw 3 pink or white balls = 3C3 + 4C3 = 1 + 4 = 5
Calculating the Probability
- Probability of drawing three pink or white balls = Number of ways to draw three pink or white balls / Total number of ways to draw three balls
- Probability = 5 / 286 = 5/286
Therefore, the correct answer is option C) 5/286.
To find the probability of drawing three pink or white balls from the urn, we first need to determine the total number of ways to draw three balls from the urn and then calculate the number of ways to draw three pink or white balls.
Total Number of Ways to Draw Three Balls
- Total number of balls in the urn = 6 maroon + 3 pink + 4 white = 13 balls
- Number of ways to draw 3 balls out of 13 = 13C3 = 286
Number of Ways to Draw Three Pink or White Balls
- Number of pink balls = 3
- Number of white balls = 4
- Number of ways to draw 3 pink or white balls = 3C3 + 4C3 = 1 + 4 = 5
Calculating the Probability
- Probability of drawing three pink or white balls = Number of ways to draw three pink or white balls / Total number of ways to draw three balls
- Probability = 5 / 286 = 5/286
Therefore, the correct answer is option C) 5/286.
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An urn contains 6 maroon, 3 pink and 4 white balls. If three balls are drawn What is the probability that all are pink or white?a)11/328b)7/212c)5/286d)9/127e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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