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).

Question

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).

1 Answer

Related questions

0 votes

Q: 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 (A and not B)

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

Q: 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 ?

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

Q: 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 (F|E)

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

Q: 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

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

asked Nov 25, 2021 in Education by JackTerrance

0 votes

Q: Let E and F be events with P(E)= 3/5, P(F) = 3/10 and P(E F) = 1/5. Are E and F independent?

Let E and F be events with P(E)= 3 5 , P(F) = 3 10 and P(E F) = 1 5 . Are E and F independent? Select the correct answer from above options...

asked Nov 25, 2021 in Education by JackTerrance

0 votes

Q: If A and B are two events such that A⊂B and P(B) ≠ 0,then which of the following is correct?

If A and B are two events such that A⊂B and P(B) ≠ 0,then which of the following is correct? (A) P(A|B) = ... ≥ p(A) (D) None of these Select the correct answer from above options...

asked Nov 25, 2021 in Education by JackTerrance

0 votes

Q: If A and B are two events associated with a random experiment such that P (A) = 0.5, P (B) = 0.3 and P (A ∩ B) = 0.2, find P (A ∪ B).

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

Q: Let A and B be independent events with P(A) = 0.3 and P (B) = 0.4. Find (i) P(A∩B) (ii)P(A∪B)

Let A and B be independent events with P(A) = 0.3 and P (B) = 0.4. Find (i) P(A∩B) (ii)P(A∪B) (iii) P (A|B) (iv) P (B|A) Select the correct answer from above options...

asked Nov 25, 2021 in Education by JackTerrance

0 votes

Q: If A and B are two events such that P(A) = 1/4, P(B) = 1/2 and P(A ∩ B) = 1/8

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

Q: If A and B be two events associated with a random experiment such that P(A) = 0.3, P(B) = 0.2 and P(A ∩ B) = 0.1, find

If A and B be two events associated with a random experiment such that P(A) = 0.3, P(B) = 0.2 and P(A ∩ B) = ... B) (ii) P(A bar ∩ B) Select the correct answer from above options...

asked Nov 22, 2021 in Education by JackTerrance

0 votes

Q: Given two mutually exclusive events A and B such that P (A) = 1/2 and P (B) = 1/3, find P (A or B).

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

Q: A die is thrown three times, E : 4 appears on the third toss, F : 6 and 5 appears respectively on first two tosses

A die is thrown three times, E : 4 appears on the third toss, F : 6 and 5 appears respectively on first two tosses Select the correct answer from above options...

asked Nov 25, 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) = 0.4 and P (A ∪ B) = 0.5, find P (A ∩ B).

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

Q: 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).

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

Q: If A and B are events such that P(A|B) = P(B|A), then (A) A⊂B but A≠B

If A and B are events such that P(A|B) = P(B|A), then (A) A⊂B but A≠B (B) A = B (C) A∩B =φ (D) P(A) = P(B) Select the correct answer from above options...

asked Nov 25, 2021 in Education by JackTerrance