Q70.In a workshop, there are five machines and the probability of any one of them to be out of service on a day is 4 1 . If the probability that at most two machines will be out of service on the same day is ( 43 ) 3k, then k is equal to (1) 17 (2) 17 8 4 (3) 17 (4) 4 2
What This Question Tests
This question applies the binomial probability distribution to calculate the probability of 'at most two' machines being out of service and then solves for an unknown exponent.
Concepts Tested
Formulas Used
P(X=k) = C(n, k) p^k (1-p)^(n-k)
P(X ≤ k) = P(X=0) + P(X=1) + ... + P(X=k)
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📋 Question Details
- Chapter
- Probability
- Topic
- Binomial distribution
- Year
- 2020
- Shift
- 07 Jan Shift 2
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 13: Probability
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