Ask a Question

A and B are two events such that P(A) = 1/2, P(B) = 1/3 and P(A Ç B) = 1/4.

in Education by
A and B are two events such that P(A) = 1/2, P(B) = 1/3 and P(A Ç B) = 1/4. Find: (i) P(A|B) (ii) P(B|A) (iii) P(A’|B) (iv) P(A’|B’) Select the correct answer from above options

1 Answer

0 votes
by
 
Best answer
Given, P(A) = 1/2, P(B) = 1/3 and P(A ∩ B) = 1/4.

Related questions

0 votes
Q: If A and B are two events such that P(A) = 1/2, P(B) = 1/3 , P(A/B) = 1/4 , then P(A' ∩ B' ) equals A. 1/12 B. 3/4 C. 1/4 D. 3/16
    If A and B are two events such that P(A) = 1/2, P(B) = 1/3 , P(A/B) = 1/4 , then P(A' ∩ B' ) equals A. 1/12 B. 3/4 C. 1/4 D. 3/16 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: 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) equals
    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
Q: If E1 and E2 are the two events such that P (E1) = 1/4, P (E2) = 1/3 and P (E1 U E2) = 1/2, show that E1 and E2 are independent events.
    If E1 and E2 are the two events such that P (E1) = 1/4, P (E2) = 1/3 and P (E1 U E2) = 1/2, show that E1 and E2 are independent events. Select the correct answer from above options...
asked Nov 21, 2021 in Education by JackTerrance
0 votes
Q: A and B are events such that P(A) = 0.4, P(B) = 0.3 and P(A ∪ B) = 0.5. Then P (B′ ∩ A) equals A. 2/3 B. 1/2 C. 3/10 D. 1/5
    A and B are events such that P(A) = 0.4, P(B) = 0.3 and P(A ∪ B) = 0.5. Then P (B′ ∩ A) equals A. 2/3 B. 1/2 C. 3/10 D. 1/5 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: It is given that the events A and B are such that P(A) = 1/ 4 , P(A/B) = 1/ 2 and P(B/A) = 2 /3 . Then P(B) is
    It is given that the events A and B are such that P(A) = \(\frac{1}{4}\) , P(A/B) = \(\frac{1}{2}\) and P ... {6}\) (d) \(\frac{1}{3}\) Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
0 votes
Q: If A and B are two events associated with a random experiment such that P (A) = 0.3, P (B) = 0.2 and P (A ∩ B) = 0.1,
    Fill in the blank: If A and B are two events associated with a random experiment such that P (A) = 0.3, P (B) ... P (A ∩ B) is _______. Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: Let X and Y be two events such that P(X/Y) = 1/2 P(Y/X) = 1/3 and P(X∩Y) = 1/6 Which of the following is/are correct?
    Let X and Y be two events such that P(X/Y) = \(\frac{1}{2}\) , P(Y/X) =\(\frac{1}{3}\) and P(X∩Y) =\( ... (d) P(XC∩Y) = \(\frac{1}{3}\) Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
0 votes
Q: Let A and B be two events such that P(A) = 3/8, P(B) = 5/8 and P(A ∪ B) = 3/4. Then P(A | B).P(A′ | B) is equal to
    Let A and B be two events such that P(A) = 3/8, P(B) = 5/8 and P(A ∪ B) = 3/4. Then P(A | B).P(A′ | B) ... .2/5 B. 3/8 C. 3/20 D. 6/25 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: Let A and B be the events such that P (A) = 1/2, P (B) = 7/12 and P (not A or not B) = 1/4. State whether A and B are
    Let A and B be the events such that P (A) = 1/2, P (B) = 7/12 and P (not A or not B) = ... (i) mutually exclusive, (ii) independent. Select the correct answer from above options...
asked Nov 21, 2021 in Education by JackTerrance
0 votes
Q: If A, B and C are three independent events such that P(A) = P(B) = P(C) = p, then P (At least two of A, B, C occur) = 3p^2 – 2p^3
    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
Q: Three events A, B and C have probabilities 2/5, 1/3 and 1/2, respectively. Given that P(A ∩ C) = 1/5 and P(B ∩ C) = 1/4 ,
    Three events A, B and C have probabilities 2/5, 1/3 and 1/2, respectively. Given that P(A ∩ C) = 1/5 and P(B ∩ ... | B) and P(A'∩ C'). Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: If A and B are two events such that P(A) > 0 and P(A) + P(B) >1, then P(B|A) ≥ 1 - P(B')/P(A)
    State True or False for the statements: If A and B are two events such that P(A) > 0 and P(A) + P(B) >1, then P(B|A) ≥ 1 - P(B')/P(A) Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
0 votes
Q: If E1 and E2 are independent events such that P (E1) = 0.3 and P (E2) = 0.4, find (i) P (E1 ∩ E2) (ii) P (E1 U E2) (iii) P(bar E1 ∩ bar E2)
    If E1 and E2 are independent events such that P (E1) = 0.3 and P (E2) = 0.4, find (i) P (E1 ∩ E2) (ii) P ... ∩ bar E2) (iv) P(E1 ∩ E2) Select the correct answer from above options...
asked Nov 21, 2021 in Education by JackTerrance
0 votes
Q: Let E1 and E2 be the events such that P (E1) = 1/3 and P (E2) = 3/5. Find: (i) P (E1 U E2), when E1 and E2 are mutually exclusive,
    Let E1 and E2 be the events such that P (E1) = 1/3 and P (E2) = 3/5. Find: (i) P (E1 U E2), ... ∩ E2), when E1 and E2 are independent. Select the correct answer from above options...
asked Nov 21, 2021 in Education by JackTerrance
0 votes
Q: If A and B are events such that P(A ∪ B) = 0.5, P B( ) = 0.8 and P(A/B) = 0.4, then what is P(A ∩ B) equal to ?
    If A and B are events such that P(A ∪ B) = 0.5, P B( ) = 0.8 and P(A/B) = 0.4, then what is P(A ∩ B) ... (b) 0.02 (c) 0.2 (d) 0.8 Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance

© Copyright 2018-2023 www.Blogmepost.com. All rights reserved. Developed by Blogmepost.

...