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A basket contains 6 White 4 Black 2 Pink and 3 Green balls. If three balls picked up random, What is the probability that all three are White?
- a)4/91
- b)5/93
- c)7/97
- d)8/92
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A basket contains 6 White 4 Black 2 Pink and 3 Green balls. If three b...
Total Balls = 15
Probability = 6c3 / 15c3 = 4/91
Most Upvoted Answer
A basket contains 6 White 4 Black 2 Pink and 3 Green balls. If three b...
Probability of Picking Three White Balls
Step 1: Find the total number of possible ways to pick three balls out of 15.
Total ways = 15C3 = (15*14*13)/(3*2*1) = 455
Step 2: Find the number of ways to pick three white balls out of six.
Ways to pick three white balls = 6C3 = (6*5*4)/(3*2*1) = 20
Step 3: Find the probability of picking three white balls.
Probability = Ways to pick three white balls / Total ways
Probability = 20/455
Probability = 4/91
Therefore, the probability of picking three white balls out of the basket is 4/91 or option (a).
Step 1: Find the total number of possible ways to pick three balls out of 15.
Total ways = 15C3 = (15*14*13)/(3*2*1) = 455
Step 2: Find the number of ways to pick three white balls out of six.
Ways to pick three white balls = 6C3 = (6*5*4)/(3*2*1) = 20
Step 3: Find the probability of picking three white balls.
Probability = Ways to pick three white balls / Total ways
Probability = 20/455
Probability = 4/91
Therefore, the probability of picking three white balls out of the basket is 4/91 or option (a).
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