Q80.A pack of cards has one card missing. Two cards are drawn randomly and are found to be spades. The probability that the missing card is not a spade, is : (1) 3 (2) 52 4 867 (3) 39 (4) 22 50 425 ¯
What This Question Tests
This problem is a classic application of Bayes' theorem, requiring calculation of probabilities for different scenarios of a missing card and then applying conditional probability.
Concepts Tested
Formulas Used
P(A|B) = P(B|A)P(A) / P(B)
nCr = n! / (r!(n-r)!)
📚 NCERT Sections This Tests
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2.5 A parallel plate capacitor with air between the plates has a capacitance of 8 pF (1pF = 10–12 F). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?
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📋 Question Details
- Chapter
- Probability
- Topic
- Conditional probability, Bayes' theorem
- Year
- 2021
- Shift
- 16 Mar Shift 1
- Q Number
- Q80
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 13: Probability
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