If three balls are picked at random, what is the probability that atleast one is red?

Q: If three balls are picked at random, what is the probability that atleast one is red?

Total Number of outcomes = 10C3 = 120 Number of outcomes not containing red balls = 5C3 = 10 ∴ Probability that at least one is red = 1 - 10/120 = 11/12

1/2
7/12
11/12
1/5

Correct Answer: 11/12

Explanation:

Total Number of outcomes = ¹⁰C₃ = 120
Number of outcomes not containing red balls = ⁵C₃ = 10
∴ Probability that at least one is red = 1 - 10/120 = 11/12

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