Two events A and B are said to be mutually exclusive if: OA. P(A and B) = 0 B. P(A and B) = 1 OC. P(A|B) = 1 OD. P(B|A) 1

Q: In probability, when two events A and B are such that P(B)= 1.5 P(A) and P(ANB) = 0.6 P(A), then…

A: We have to find given probability.

Q: a)     If P(A) = 0.50, P(B) = 0.60 and the P(A| B)= 0.4, then find the P (A U B)                i.…

A: Given,P(A)=0.50P(B)=0.60P(A|B)=0.4

Q: Suppose that A and B are independent events such that P(A) = 0.3 and P(B) = 0.2. Find P(A&B).

A: The Special Multiplication Rule (for two independent event)

Q: If two persons A and B are attending a test with %3D P(A)=0.45, P(B)=D0.36 then PAUB)= O a. 0.648 O…

A: Answer: Option a. 0.648 Explanation: If two persons A and B attending a test with PA=0.45 and…

Q: Two events A and B are such that 2 P(A) = x, P(B) = 17 - P(AUB) = 21 Find the value of x if the…

A:

Q: We are given that  P(A | B) = 0.2  and  P(A) = 0.9.  Since  P(A | B) ≠ P(A),  the occurrence of…

A: Since  P(A | B) ≠ P(A),  the occurrence of event B changes the probability that event A will occur.…

Q: The probability that event A or event B will occur is

A: Given that  The probability that event A or event B will occur is P(A or B)=P(A)+P(B)−P(A or B).…

Q: If ​P(A∪​B)=0.8​, ​P(A)=0.2​, and ​P(A∩​B)=0.15​, find​ P(B). Assume that A and B are events.

A: Given information- We have given that A and B are events. P(A∪​B)=0.8​, ​P(A)=0.2​, P(A∩​B)=0.15. We…

Q: Assume P (A) = .68, P (B) = .45, and P (AN B) = .25. Find P ( An I (An).

A:

Q: Q14. A red and a blue die are thrown. Both dice are fair. The events A and B are defined as follows:…

A:

Q: Which of the following events are equal? а. А%3D (1,3}; b. B = {x|x is a number on a die}; c. C=…

A: Given that  Which of the following events are equal?   a. A = {1, 3}; = {1,3}   b. B = {x| x is a…

Q: For any two events A and B, find weather the following statement is true or not: P(A/B) + P(A©/B) =…

A: Given statement isP(A/B)+P(Ac/B)=1

Q: Find P(U or V)P(U or V).

A: Concept: Two events are said to be mutually exclusive if both the events cannot occur at the same…

Q: For two events, A and B, P(A) = 0.5, P(B) = 0.5, and P(A/B) = 0.4. a. Find P(ANB). b. Find P(BIA).…

A:

Q: Two events A and B are such that P(A) =0.1, P(B)=0.4 and P(AUB)=0.3. Find the value of P(AUB). 0.2…

A: Given:PA=0.1, PB=0.4 and PA∪B=0.3 Then,PA∩B=PA+PB-PA∪B=0.1+0.4-0.3=0.2

Q: A AC Total B 0.443 0.005 0.528 BC 0.224 0.24 0.427 Total 0.667 0.333 1

A: From the cross-tabulation table, we have P( A ) = 0.667 P( B ) = 0.528 P( Ac and B ) = P( B ) - P( A…

Q: The addition rule P(E or F)=P(E)+P(F) applies only to which type of events? a. Complementary b.…

A:

Q: A student goes to the library. Let B = the student checks out a book and D = the student checks out…

A: Given:P(B) =0.74, P(D) =0.38 and P(B|D) = 0.74.

Q: Which of the following statements is FALSE? Select one: If events A, B and Care independent, then A…

A: Option  b and  Option c is false. Because from the option b is given that the symbol is less than…

Q: If P(A) = 0.80, P(A or B) = 0.70, and P(A and B) = 0.60, then P(B) O a. 0.10 O b. 0.50 OC. 0.26…

A:

Q: For two events A and B , P(A)=0.7 , P(B)=0.4 , and P(A∩B)=0.28. Determine whether or not A and B are…

A: Given that  P(A)=0.7 , P(B)=0.4 , and P(A∩B)=0.28

Q: \ssume P (A) = .53, P (AN B) = .33, and P( A N B = .25. Find P (B)

A:

Q: For any three events A, B, & D. Such that Pr(D)>0. Prove that Pr(A U B|D) = Pr(A|D) ÷ Pr(B|D) - Pr(A…

A: Given that, there are three events A, B & D. We have to prove that, Pr(A U B|D) = Pr(A|D) ÷…

Q: U and V are mutually exclusive events. P(U) = 0.33; P(V) = 0.5. Find:  a.  P(U and V) =  b.…

A: Therefore,

Q: iven P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A and B independent or dependent?

A:

Q: Let A and B be two events such that P(A) = 1/4 While P(A or B) = 1/2. Let P(B) = P. For what values…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule state that:…

Q: For two events A and B, P(A)=0.24, P(B)=0.57, and P(A∩B)=0.32. a.Find P(A|B) b. Find P(B|A) c.…

A:

Q: Ahmad rolled two dice and observed two numbers X and Y a. Find P (X=2, Y=6) b. Find P(X>3|Y=2).

A:

Q: If events A and B are not independent, then it is impossible that P(A) + P(B) > 1. Select one: O A.…

A:

Q: Let A and B be two events such that P (A ∪ B) = 0.6 and P (A ∪ Bc ) = 0.8 Find P (A).

A:

Q: Given P(A) = 0.27, P(B) = 0.27, and P(B|A) = 0.21, are A and B independent or dependent?

A: Events A and B are said to be independent if P(A∩B)=P(A)·P(B) Given:  P(A) = 0.27, P(B) = 0.27, and…

Q: event A and B are independent if P(A) =0.5 and P(B)=0.6 find P(A∩B)=?

A: It is given that event A and B are independent. P(A) =0.5 and P(B)=0.6