Q80.A fair die is tossed until six is obtained on it. Let X be the number of required tosses, then the conditional probability P(X ⩾5 ∣X > 2) is : (1) 25 (2) 5 36 6 (3) 11 (4) 125 36 216
What This Question Tests
This question tests the understanding and application of conditional probability for a sequence of independent trials (tossing a die until a six is obtained), essentially dealing with a geometric distribution.
Concepts Tested
Formulas Used
P(A|B) = P(A ∩ B) / P(B)
P(success) = 1/6, P(failure) = 5/6
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📋 Question Details
- Chapter
- Probability
- Topic
- Conditional probability
- Year
- 2021
- Shift
- 26 Aug Shift 2
- Q Number
- Q80
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 13: Probability
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