Q89.Consider 5 independent Bernoulli's trials each with probability of success p . If the probability of at least one failure is greater than or equal to 31 , then p lies in the interval 32 (1) ( 34 , 1112 ] (2) [0, 12 ] (3) ( 1112 , 1] (4) ( 12 , 34 ]
What This Question Tests
This question involves Bernoulli trials and binomial probability, requiring the calculation of the probability of 'at least one failure' and then solving an inequality to determine the possible range for the probability of success 'p'.
Concepts Tested
Formulas Used
P(X ≥ k) = 1 - P(X < k)
P(success) = p, P(failure) = 1-p
P(all successes) = p^n
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📋 Question Details
- Chapter
- Probability
- Topic
- Bernoulli trials and binomial distribution
- Year
- 2011
- Shift
- Unknown
- Q Number
- Q89
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 13: Probability
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