Q81.Let ๐= ๐งโโ: ๐ง+ 2 โ3๐โค1 and ๐= ๐งโโ: ๐ง1 + ๐+ ยฏ๐ง1 โ๐โคโ8. Let in ๐โฉ๐, ๐งโ3 + 2๐ be maximum and minimum at ๐ง1 and ๐ง2 respectively. If ๐ง12 + 2๐ง2 = ๐ผ+ ๐ฝโ2, where ๐ผ, ๐ฝ are integers, then ๐ผ+ ๐ฝ equals __________
What This Question Tests
This problem is a classic application of Bayes' Theorem, requiring the setup of different hypotheses for the composition of balls in the bag and calculating conditional probabilities using combinations.
Concepts Tested
Formulas Used
P(A|B) = P(B|A)P(A) / P(B)
P(B) = ฮฃ P(B|A_i)P(A_i)
nCr = n! / (r!(n-r)!)
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๐ Question Details
- Chapter
- Probability
- Topic
- Conditional probability (Bayes' Theorem)
- Year
- 2024
- Shift
- 01 Feb Shift 1
- Q Number
- Q81
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 13: Probability
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