Home › JEE Main › Mathematics › Statistics and Probability › A, B and C are mutually exclusive and exhaustive…
A, B and C are mutually exclusive and exhaustive with P(A) = 1/2 and P(B) = 1/3. Then P(C) equals:
A1/6 exactly
B5/6 exactly
C1/5 exactly
D2/3 exactly
Answer & Solution
Correct answer: A. 1/6 exactly
1. Mutually exclusive and exhaustive events have probabilities summing to 1.
2. So P(C) = 1 - P(A) - P(B) = 1 - 1/2 - 1/3.
3. P(C) = 1 - 5/6 = 1/6.
_Source: NCERT Class 11 Mathematics, Ch 14 'Probability' (kemh114)_
Related questions
For two events, P(A) = 0.54, P(B) = 0.69 and P(A and B) = 0.35. The probability that A occTwo dice are thrown. The probability that the sum of the numbers is at most 4 is:A fair coin is tossed three times. The probability of getting exactly two heads is:One card is drawn from a pack of 52. The probability that it is a red king is:A and B are mutually exclusive, P(not A) = 0.65 and P(A or B) = 0.85. Then P(B) equals:A fair coin is tossed three times. The probability of getting at least one head is:One card is drawn from a pack of 52. The probability that it is neither a king nor a queenTwo dice are thrown together. The probability of getting a doublet is: