Events A, B, and C in a sample space have P(A)=0.2, P(B)=0.4, P(C)=0.5, P(~B ∪ ~C)=0.9,...

Question

Question

Events A, B, and C in a sample space have P(A)=0.2, P(B)=0.4, P(C)=0.5, P(~B ∪ ~C)=0.9,...

Events A, B, and C in a sample space have P(A)=0.2, P(B)=0.4, P(C)=0.5, P(~B ∪ ~C)=0.9, and P(A ∪ C)=0.6. Find P(A ∪ B ∪ C) if A and B are mutually exclusive.

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Add a comment

Answer 2

Similar Homework Help Questions

Let P(A) = 0.4 P(B) = 0.5 P(A|B) = 0.2 (Please show working). If the events...

Let P(A) = 0.4 P(B) = 0.5 P(A|B) = 0.2 (Please show working). If the events a and b are independent, calculate the P(A and B) If the events a and b are not independent, calculate the P(A and B) If the events a and b are mutually exclusive, calculate the P(A or B)
In a sample space, events A and B are independent, events B and C are mutually...

In a sample space, events A and B are independent, events B and C are mutually exclusive, and A and C are independent. a) Show that P(AUB) = P(B) + P(A)P(B') = P(A) + P(A')P(B) b) If P(AUBUC) = 0.9, P(B) = 0.5 and P(C) = 0.3 find P(A).
1. If P(A) = 0.7, P(A or B) = 0.9, and P(A and B) = 0.6,...

1. If P(A) = 0.7, P(A or B) = 0.9, and P(A and B) = 0.6, then find P(B) 2. If A and B are mutually exclusive events with P(A) = 0.2 and P(B) = 0.4, find P(A or B)

p(b)= 0.5, p(c)=0.2, events b and c are mutually exclusive. find p( b intersects c)

p(b)= 0.5, p(c)=0.2, events b and c are mutually exclusive. find p( b intersects c)
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
The events A and B are mutually exclusive. If P(A) = 0.7 and P(B) = 0.2,...

The events A and B are mutually exclusive. If P(A) = 0.7 and P(B) = 0.2, what is P(A or B)? O A. 0.5 OBO OC. 0.9 OD. 0.14

0.4, P(B) 0.5, and P(A B) = 0.20, then the events A and B are mutually...

0.4, P(B) 0.5, and P(A B) = 0.20, then the events A and B are mutually exclusive. If P(A) True False OO
2. Let A and B be events in a sample space such that P(A) -0.5. P(ANB)...

2. Let A and B be events in a sample space such that P(A) -0.5. P(ANB) -0.3 and PLAUB)=0.8. Calculate: 1) P(AB): ii) P(BA): iii) PIBIA B): be independent of A and such that B and Care Let the event C in mutually exclusive. Calculate: iv) P(AC); v) PIANBNC). (8 Marks)
Suppose A and B are events in a sample space Ω. Let P(A) = 0.4, P(B)...

Suppose A and B are events in a sample space Ω. Let P(A) = 0.4, P(B) = 0.5 and P(A∩B) = 0.3. Express each of the following events in set notation and find the probability of each event: a) A or B occurs b) A occurs but B does not occur c) At most one of these events occurs

9. If P(A) = 0.2, P(B) = 0.2, and P(A U B) = 0.4, then P(An...

9. If P(A) = 0.2, P(B) = 0.2, and P(A U B) = 0.4, then P(An B) = (a) Are events A and B independent? (enter YES or NO) (b) Are A and B mutually exclusive? (enter YES or NO)

Events A, B, and C in a sample space have P(A)=0.2, P(B)=0.4, P(C)=0.5, P(~B ∪ ~C)=0.9,...

Homework Answers

Add Answer to:
Events A, B, and C in a sample space have P(A)=0.2, P(B)=0.4, P(C)=0.5, P(~B ∪ ~C)=0.9,...

Post as a guest

Earn Coins

Let P(A) = 0.4 P(B) = 0.5 P(A|B) = 0.2 (Please show working). If the events...

In a sample space, events A and B are independent, events B and C are mutually...

1. If P(A) = 0.7, P(A or B) = 0.9, and P(A and B) = 0.6,...

p(b)= 0.5, p(c)=0.2, events b and c are mutually exclusive. find p( b intersects c)

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

The events A and B are mutually exclusive. If P(A) = 0.7 and P(B) = 0.2,...

0.4, P(B) 0.5, and P(A B) = 0.20, then the events A and B are mutually...

2. Let A and B be events in a sample space such that P(A) -0.5. P(ANB)...

Suppose A and B are events in a sample space Ω. Let P(A) = 0.4, P(B)...

9. If P(A) = 0.2, P(B) = 0.2, and P(A U B) = 0.4, then P(An...

Events A, B, and C in a sample space have P(A)=0.2, P(B)=0.4, P(C)=0.5, P(~B ∪ ~C)=0.9,...

Homework Answers

Add Answer to: Events A, B, and C in a sample space have P(A)=0.2, P(B)=0.4, P(C)=0.5, P(~B ∪ ~C)=0.9,...

Post as a guest

Earn Coins

Add Answer to:
Events A, B, and C in a sample space have P(A)=0.2, P(B)=0.4, P(C)=0.5, P(~B ∪ ~C)=0.9,...