in Education by
If M and N are any two events, the probability that at least one of them occurs is A. P (M) + P (N) – 2 P (M ∩ N) B. P (M) + P (N) – P (M ∩ N) C. P (M) + P (N) + P (M ∩ N) D. P (M) + P (N) + 2P (M ∩ N) Select the correct answer from above options

1 Answer

0 votes
by
 
Best answer
Given that M and N are two events, By General Addition Rule, P(A ⋃ B) = P(A) + P (B) – P(A ⋂ B) ∴ P(M ⋃ N) = P(M) + P(N) – P(M ⋂ N). Hence, the correct option is (B).

Related questions

0 votes
    If M and N are any two events, then the probability that exactly one of them occurs is A. P(A)+P(B)-2p(A∩B) B. P( ... )-2P( ˉ A ∩ ˉ B ) Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
    If M and N are any two events, then the probability that exactly one of them occurs is A. P ( M ) + P ( N ) − 2 P ... + 2 P ( M ∩ N ) P Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
    The probability that at least one of the events A and B occurs is 0.6. If A and B occur simultaneously with probability ... 1.2 D. 1.6 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
    What will be the Probability of the occurrence of at least one of the n independent events of a random experiment. Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
0 votes
0 votes
    State True or False for the statements: If A, B and C are three independent events such that P(A) = P(B) = P( ... C occur) = 3p2 - 2p3 Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
0 votes
0 votes
0 votes
    Three coins are tossed simultaneously. Find the probability that all coins show heads if at least one of the coins shows a head. Select the correct answer from above options...
asked Nov 21, 2021 in Education by JackTerrance
0 votes
    If AandB are two events, the probability that at most one of these events occurs is A. 1-P(A∩B) B. P( ˉ A ) ... A∪B)-1 D. all the above Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
0 votes
    If 10 objects are distributed at random among 10 persons, then find the probability that at least one of them will ... . none of these Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
    If P (A ∪ B) = P (A ∩ B) for any two events A and B, then A. P (A) = P B. (B) P (A) > P (B) C. P (A) < P (B) D. none of these Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
...