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For the three events A, B and C, P(exact...

For the three events `A`, `B` and `C`, `P`(exactly one of the events A or B occurs) `= P`(exactly one of the events B or C occurs) `=P`(exactly one of the events C or A occurs)`= p` and `P`(all the three events occur simultaneously) `= p^2`, where `0ltplt1/2`. Then, find the probability of occurrence of at least one of the events `A`, `B` and `C`.

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To solve the problem, we will follow these steps: ### Step 1: Define the probabilities for events A, B, and C Let: - \( P(A) = a \) - \( P(B) = b \) - \( P(C) = c \) ...
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For the three events A ,B , and C , P (exactly one of the events A or B occurs)= P (exactly one of the two evens B or C )= P (exactly one of the events C or A occurs)= p and P (all the three events occur simultaneously)= p^2 where 0 < p < 1//2 . Then the probability of at least one of the three events A , B and C occurring is

For the three events A ,B ,a n d \ C ,P (exactly one of the events AorB occurs) =P (exactly one of the two evens BorC ) =P (exactly one of the events CorA occurs) =p and P (all the three events occur simultaneously) =p^2 where 0 < p < 1/2 . Then the probability of at least one of the three events A ,Ba n d \ C occurring is

For three events A ,B and C ,P (Exactly one of A or B occurs) =P (Exactly one of B or C occurs) =P (Exactly one of C or A occurs) =1/4 and P (All the three events occur simultaneously) =1/16dot Then the probability that at least one of the events occurs, is :

For three events A ,B and C ,P (Exactly one of A or B occurs) =P (Exactly one of B or C occurs) =P (Exactly one of C or A occurs) =1/4 and P (All the three events occur simultaneously) =1/16dot Then the probability that at least one of the events occurs, is : 7/(64) (2) 3/(16) (3) 7/(32) (4) 7/(16)

For three events A ,B and C ,P (Exactly one of A or B occurs) =P (Exactly one of B or C occurs) =P (Exactly one of C or A occurs) =1/4 and P (All the three events occur simultaneously) =1/6dot Then the probability that at least one of the events occurs, is : 7/(64) (2) 3/(16) (3) 7/(32) (4) 7/(16)

If A and B are two events write the expression for the probability of occurrence of exactly one of two events.

If A and B are two independent events, then the probability of occurrence of at least one of A and B is given by 1" - "P (A') P (B')

Two events A and B are such that P(B) = 0 . 55 and P(AB') = 0 . 15 . The probability of occurence of at least one of event is

The probabilities that at least one of the events A and B occurs is 0.8 and the probability that both events occur simultaneously is 0.25. Find the probability P(barA)+P(barB) .

If A, B, and C are independent events such that P(A)=P(B)=P(C)=p , then find the probability of occurrence of at least two of A, B, and C.

RD SHARMA ENGLISH-PROBABILITY-All Questions
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