Question

For two events A and B, P(A) = 0.45, P(B) = 0.3, P(A ∪ B) =...

For two events A and B, P(A) = 0.45, P(B) = 0.3, P(A ∪ B) = 0.7. Find P(B|A).

a. 0.667

b. 0.050

c. 0.3

d. 0.889

e. 0.111

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution:

Explanation:

We are given:

We know that:

We are required to find:

Using the conditional probability formula, we have:

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let A and B be events with P (A)= 0.3 and P (B)=0.7, and P (A...
Let A and B be events with P (A)= 0.3 and P (B)=0.7, and P (A or B)=0.9. (a) Compute . (b) Are and mutually exclusive? Explain. (c) Are and independent? Explain.
Let A and B be two events from the sample space S. Given P(A)=0.3, P(B)=0.4 and...
Let A and B be two events from the sample space S. Given P(A)=0.3, P(B)=0.4 and P(A or B)=0.6 Find: a) P(A and B) b) P(not A) c) P(not B) d) P(not(A and B)) e) P(not(A or B))
Consider two events, A and B, of a sample space such that P(A) = P(B) =...
Consider two events, A and B, of a sample space such that P(A) = P(B) = 0.7 a).Is it possible that the events A and B are mutually exclusive? Explain. b).If the events A and B are independent, find the probability that the two events occur together. c).If A and B are independent, find the probability that at least one of the two events will occur. d).Suppose P(B|A) = 0.5, in this case are A and B independent or dependent?...
1. Suppose that A, B are two independent events, with P(A) = 0.3 and P(B) =...
1. Suppose that A, B are two independent events, with P(A) = 0.3 and P(B) = 0.4. Find P(A and B) a. 0.12 b. 0.3 c. 0.4 d. 0.70 2. Experiment: choosing a single ball from a bag which has equal number of red, green, blue, and white ball and then rolling a fair 6-sided die. a.) List the sample space. b.) What is the probability of drawing a green ball and even number? 2.
Given two events A and B such that P(A) =0.2, P(B)=0.3, P(A⋃B) = 0.44. Are A...
Given two events A and B such that P(A) =0.2, P(B)=0.3, P(A⋃B) = 0.44. Are A and B disjoint? Are they independent? Why? Find P(A|B).
13. Assume A and B are independent events with P(A)= 0.2 and P(B)= 0.3. let C...
13. Assume A and B are independent events with P(A)= 0.2 and P(B)= 0.3. let C be the event that none of the events A and B occurs, let D be the event that exactly one of the events A and B occurs. Find P(A given D)?
A, B and C are events that form a partition of sample space S. P(A)=0.45, and...
A, B and C are events that form a partition of sample space S. P(A)=0.45, and P(B)=0.30. D is another event. P(D|A)= 0.32. P(D|B)= 0.48, and P(D|C)= 0.64. Find these probabilities: Find P ( A u B u D )
3) Given the events A and B, and P (A) = 0.3, P (B) = .5...
3) Given the events A and B, and P (A) = 0.3, P (B) = .5 and P (A and B) = .1 Determine: a) P (A∪B) b) P (A∪Bc) c) P (A / B) Hint: make the Venn diagram 4) Given events A and B, and P (A) = 0.3, P (B) = .5 If the events are independent, determine: a) P (A∪B) b) P (A∩Bc) c) P ((A∩B) c) 5) If the events are mutually exclusive, determine: a)...
Events A, B, and C are independent. P(A) = 0.15 P(B) = 0.3 P(C) = 0.4...
Events A, B, and C are independent. P(A) = 0.15 P(B) = 0.3 P(C) = 0.4 a) probability that all events occur b) Probability that at least one occurs c) Probability that none occurs d) Probability that exactly one event occurs
suppose events A and B are such that p(A)=0.25,P(B) =0.3 and P(B|A)= 0.5 i) compute P(AnB)...
suppose events A and B are such that p(A)=0.25,P(B) =0.3 and P(B|A)= 0.5 i) compute P(AnB) and P(AuB) ii) Are events A and B independent? iii) Are events A and B mutually exclusive? b)if P(A)=0.6, P(B)= 0.15 and P(B|A')=0.25, find the following probabilities I)P(B|A), P(A|B),P(AuB)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT