If $A$ and $B$ are any two events, then the probability that exactly one of them occur is
If $A$ and $B$ are any two events, then the probability that exactly one of them occur is
- [IIT 1984]
- A
$P\,(A) + P\,(B) - P\,(A \cap B)$
- B
$P\,(A) + P\,(B) - 2P\,(A \cap B)$
- C
$P\,(A) + P\,(B) - P\,(A \cup B)$
- D
$P\,(A) + P\,(B) - 2P\,(A \cup B)$
Similar Questions
India plays two matches each with West Indies and Australia. In any match the probabilities of India getting point $0, 1$ and $2$ are $0.45, 0.05$ and $0.50$ respectively. Assuming that the outcomes are independents, the probability of India getting at least $7$ points is
India plays two matches each with West Indies and Australia. In any match the probabilities of India getting point $0, 1$ and $2$ are $0.45, 0.05$ and $0.50$ respectively. Assuming that the outcomes are independents, the probability of India getting at least $7$ points is
- [IIT 1992]
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- [IIT 1994]
In a class of $60$ students, $30$ opted for $NCC$ , $32$ opted for $NSS$ and $24$ opted for both $NCC$ and $NSS$. If one of these students is selected at random, find the probability that The student opted for $NCC$ or $NSS$.
In a class of $60$ students, $30$ opted for $NCC$ , $32$ opted for $NSS$ and $24$ opted for both $NCC$ and $NSS$. If one of these students is selected at random, find the probability that The student opted for $NCC$ or $NSS$.