in Education by
If A and B are arbitrary events, then a) P(A∩B)≥P(A)+P(B) (b) P(A∪B)≤P(A)+P(B) (c) P(A∩B)=P(A)+P(B) (d)None of these A. P(A∩B)≥P(A)+P(B) B. P(A∪B)≤P(A)+P(B) C. P(A∩B)=P(A)+P(B) D. none of these Select the correct answer from above options

1 Answer

0 votes
by
 
Best answer
Correct Answer - B We have, P(A∪B)=P(A)+P(B)-P(A∩B) ⇒P(A∪B)≤P(A)+P(B)

Related questions

0 votes
0 votes
    Let A, B, C be pariwise independent events with P(C)>0andP(A∩B∩C)=0 . Then P(Ac∩ Bc C ) . A. P(Ac)+P(Bc) B. P( ... )-P(B) D. P(A)-P(Bc) Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
    If AandB are two independent events such that P(B)= 2 7 ,,P(A∪B)=0.8 then P(A)= A. 0.1 B. 0.2 C. 0.3 D. 0.4 Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
    A and B are two events such that odds odds against A are 2 : 1 odds in favour of A∪B are 3 : 1. If x≤P(B)≤y ... 3,3/4) D. none of these Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
    If AandB are independent events of a random experiment such that P(A∩B)= 1 6 andP( ˉ A ∩ ˉ B )= 1 3 then P(A)= A. ... 1 3 C. 1 6 D. 2 3 Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
0 votes
0 votes
0 votes
    If A and B be two events associated with a random experiment such that P(A)=0.3,P(B)=0.2andP(A∩B)=0.1, find (i) ... ∩B) (ii)P(A∩ ˉ B ) Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
    Statement-1: Let n≤3 and A1,A2,..,An be n independent events such that P(Ak)= 1 k+1 for 1≤k≤n, then P( ... False, Statement-2 is True. Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
    If P(B) = 3|5, P(A|B) = 1|2 and P(A ∪ B) = 4|5, then P(A ∪ B)′ + P(A′ ∪ B) = A. 1|5 B. 4|5 C. 1|2 D. 1 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
...