Home › JEE Main › Mathematics › Statistics and Probability › Two events that cannot occur together in a singl…
Two events that cannot occur together in a single trial are called:
AComplementary always
BMutually exclusive
CEqually likely
DExhaustive events
Answer & Solution
Correct answer: B. Mutually exclusive
1. If one event occurring rules the other out, the two cannot happen together.
2. Set-wise, their intersection is the empty set.
3. Events with empty intersection are called mutually exclusive.
_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:A, B and C are mutually exclusive and exhaustive with P(A) = 1/2 and P(B) = 1/3. Then P(C)One card is drawn from a pack of 52. The probability that it is neither a king nor a queen