Let A and B be any two events. If P(A) = 0.2, P(B) = 0.8 and...

Question

Question

Let A and B be any two events. If P(A) = 0.2, P(B) = 0.8 and P(A and B) = 0.6, Which probability is possible

Select one:

a. both

b. P(B|A)

c. none

d. P(A|B)

Answer 1

Answer #1

P(A) = 0.2
P(B) = 0.8
P(A and B) = 0.6

P(A|B) = P(A and B)/P(B) = 0.6/0.8 = 0.75

P(B|A) = P(A and B)/P(A) = 0.6/0.2 = 3

As P(B|A) > 1, it is not possible.
P(A|B) = 0.75 < 1 which is possible.

Correct option: D) P(A|B)

Add a comment

Answer 2

Similar Homework Help Questions

let A and B be any 2 events with p(A)=0.2; P(AUB)=0.35; P(A and B)= 0.15 find...

let A and B be any 2 events with p(A)=0.2; P(AUB)=0.35; P(A and B)= 0.15 find P(A|B) QUESTION 25 Let A and B be any 2 events with p(A) 0.2; P(AUB) 0.35; P(A and B) 0.15 a.0.25 Find P(A|B) b.0.5 c.0.6 d.0.4
Question 13 Let A and B be two independent events such that P(A) = 0.2 and...

Question 13 Let A and B be two independent events such that P(A) = 0.2 and P(B) -0.6. Type numbers in the boxes, What is P(A and B)? 10 points Your answer should be given to 2 decimal places.
7. Let A and B be two events with P(A) 0.2 and P(B) = 0.4. What...

7. Let A and B be two events with P(A) 0.2 and P(B) = 0.4. What are the possible values for P(An B) and P(AU B)? (Hint: see Example 17 in Lecture 1)

A and B are two events such that P(A) = 0.4, P(B) = 0.5, and P(A|B)...

A and B are two events such that P(A) = 0.4, P(B) = 0.5, and P(A|B) = 0.3. Find P(A and B). Select one: a. 0.6 b. 0.15 c. 0.12 d. 0.2
Exercise 14. Let A, B, C, and D be events for which P(A or B)-06, P(A)...

Exercise 14. Let A, B, C, and D be events for which P(A or B)-06, P(A) = 0.2, P(C or D) = 0.6, and P(C):05. The events A and B are mutually exclusive, and the events C and D are inde- pendent. (a) Find P(B). (b) Find PD).
Question 1 Not yet answered Marked out of 2 Flag question Let A and B two...

Question 1 Not yet answered Marked out of 2 Flag question Let A and B two independent events and P(A) = 0.6 and P(AnB) = 0.3. Find P(BC), (Probability of B complement) O a. 0.9 O b. 0.5 O c.0.2 O d. 0.8

= 0.3. Consider events A and B such that P(A) = 0.7, P(B) = 0.2 and...

= 0.3. Consider events A and B such that P(A) = 0.7, P(B) = 0.2 and P(ANB) Compute the probability that A will occur, given that B does not occur, A. 0.4 B. 0.1 C. -0.1 D. 0.5 E. none of the preceding
Suppose that A and B are mutually exclusive events for which P(A) = 0.2 and P(B)...

Suppose that A and B are mutually exclusive events for which P(A) = 0.2 and P(B) = 0.7. What is the probability that a. either A or B occurs? b. A occurs but B does not? c. both A and B occur? d. neither A nor B occurs?.
Let A and B be events such that P(A) 0.59, P(B)-0.2 a) Draw the corresponding Venn...

Let A and B be events such that P(A) 0.59, P(B)-0.2 a) Draw the corresponding Venn diagcam 4. 7, and P(A and B) = 0.18. 0.2 c) Calculate P(A or B) PUR ) PCB PCand d) Calculate.P(AC and B) d B independent? If not, explairymathematically.

Tesponse. Question 6 Let A and B be two events, such that P(A)=0.6, P(B)=0.4 and P((not...

Tesponse. Question 6 Let A and B be two events, such that P(A)=0.6, P(B)=0.4 and P((not A) and (not B))=0.2. (6 Please give your answer as simplified fraction or decimal number (e.g. 3/4 or 0.75) a) Find P(A or B)= 0.76 b) Find P((not A) and (B))= || I c) Find P( AB)=