in Education by
Given that the events A and B are such that P(A) = 1 2 P(A ∪ B) = 3 5 and P(B) = p Find p if they are (i) mutually exclusive (ii) independent. Select the correct answer from above options

1 Answer

0 votes
by
 
Best answer
(i) If the events are mutually exclusive

Related questions

0 votes
    If A and B are mutually exclusive events with P(A) = 2 5 P(B) = 1 7 find P(A ∪ B) Select the correct answer from above options...
asked Nov 25, 2021 in Education by JackTerrance
0 votes
    If A and B are two events associated with a random experiment such that P (A) = 0.5, P (B) = 0.3 and P (A ∩ B) = 0.2, find P (A ∪ B). Select the correct answer from above options...
asked Nov 22, 2021 in Education by JackTerrance
0 votes
    If A and B are two events associated with a random experiment such that P (A) = 0.3, P (B) = 0.4 and P (A ∪ B) = 0.5, find P (A ∩ B). Select the correct answer from above options...
asked Nov 22, 2021 in Education by JackTerrance
0 votes
    If A and B are two events associated with a random experiment such that P (A ∪ B) = 0.8, P (A ∩ B) = 0.3 and P (A′) = 0.5, find P(B). Select the correct answer from above options...
asked Nov 22, 2021 in Education by JackTerrance
0 votes
    Events A and B are such that P(E) = 3 5 , P(F)(B) = 7 12 P (not A or not B) = 1 4 . State whether A and B are independent ? Select the correct answer from above options...
asked Nov 25, 2021 in Education by JackTerrance
0 votes
    Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E∩F) =0.2, find p(E|F) and P(F|E). Select the correct answer from above options...
asked Nov 25, 2021 in Education by JackTerrance
0 votes
    Given two independent events A and B such that P (A) = 0.3, P (B) = 0.6. Find (i) P (A and B) (ii) P ( ... B) (iv) P (neither A nor B) Select the correct answer from above options...
asked Nov 25, 2021 in Education by JackTerrance
0 votes
    If P(A) = 3 5 3 and P(B) = 1 5 1 , find P(A∩B) if A and B are independent events. Select the correct answer from above options...
asked Nov 25, 2021 in Education by JackTerrance
0 votes
    If A and B are two events such that P(A) = 1 4 , P(B) = 1 2 and P(A ∩ B) = 1 8 Select the correct answer from above options...
asked Nov 25, 2021 in Education by JackTerrance
0 votes
    A fair die is rolled. Consider events E = {1,3, 5}, F = (2,3} and G = {2, 3,4,5} Find (i) P (E|F) and ... ) P ((E∪F)|G) and P (E∩F)|G) Select the correct answer from above options...
asked Nov 25, 2021 in Education by JackTerrance
0 votes
    You are given that A and B are two events such that P(B)= 3/5, P(A | B) = 1/2 and P(A ∪ B) = 4/5, then P(A ... /10 B. 1/5 C. 1/2 D. 3/5 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
    Let A and B be the events such that P(A) = 3/10,P(B) = 1/2 and P(B/A) = 2/5. Find (i) P(A ∩ B) (ii) P(A ∪ B) (iii) P(A / B) Select the correct answer from above options...
asked Nov 17, 2021 in Education by JackTerrance
0 votes
    Given two mutually exclusive events A and B such that P (A) = 1/2 and P (B) = 1/3, find P (A or B). Select the correct answer from above options...
asked Nov 22, 2021 in Education by JackTerrance
0 votes
    If A and B are two mutually exclusive events such that P(A) = (1/2) and P(B) = (1/3), find P(A or B). Select the correct answer from above options...
asked Nov 22, 2021 in Education by JackTerrance
0 votes
    Let A and B be the events such that P (A) = 3/10, P (B) = 1/2 and P (B/A) = 2/5. Find (i) P (A ∩ B) (ii) P (A U B) (iii) P (A/B). Select the correct answer from above options...
asked Nov 22, 2021 in Education by JackTerrance
...