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A basket contains 5 red 4 blue 3 green marbles. If three marbles picked up random, What is the probability that either all are green or all are red?
  • a)
    1/20
  • b)
    7/20
  • c)
    3/20
  • d)
    9/20
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A basket contains 5 red 4 blue 3 green marbles. If three marbles picke...
Total Marbles = 12
Either all are green or all are red = 5c3 + 3c3
probability = 5c3 + 3c3/12c3 = 11/220 = 1/20
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Most Upvoted Answer
A basket contains 5 red 4 blue 3 green marbles. If three marbles picke...
Total Marbles = 12
Either all are green or all are red = 5c3 + 3c3
probability = 5c3 + 3c3/12c3 = 11/220 = 1/20
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Community Answer
A basket contains 5 red 4 blue 3 green marbles. If three marbles picke...
Solution:

Total number of marbles = 5 + 4 + 3 = 12

Number of ways to select 3 marbles out of 12 = 12C3 = (12*11*10)/(3*2*1) = 220

Number of ways to select 3 green marbles out of 3 = 1

Number of ways to select 3 red marbles out of 5 = 5C3 = (5*4)/(2*1) = 10

Therefore, the total number of ways to select either all green marbles or all red marbles = 1 + 10 = 11

Probability of selecting either all green or all red marbles = (11/220) = 1/20

Therefore, the correct option is A) 1/20
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A basket contains 5 red 4 blue 3 green marbles. If three marbles picked up random, What is the probability that either all are green or all are red?a)1/20b)7/20c)3/20d)9/20Correct answer is option 'A'. Can you explain this answer?
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