The events A and B are such that ?(?) = 4/9?(?|?) = 1/2?(? ∪ ?) = 2/3 (i) Draw a Venn diagram to represent the informationCalculate:(ii) ?(?)(iii) ?(?|?)(iii) ?(? ∩ ?)(iv) ?(? ∪ ?)(v) ?( ? |? )(vi) Represent the information as a tree diagram with B preceding A

Q: Given P(A) = 0.34, P(A and B) = 0.20, P(A or B) = 0.55, what is P(B)?

A: We have given that,  P(A) = 0.34, P(A and B) = 0.20, P(A or B) = 0.55, then, We will find the value…

Q: Given P(A and B) = 0.22, P(B) = 0.75, P(B|A) = 0.84, what is P(A)?

A: Given information- P(B) = 0.75 P(A∩B) = 0.22 P(B|A) = 0.84 P(B/A) is given by-

Q: Given P(B) = 0.47, P(A and B) = 0.10, P(A or B) = 0.51, what is P(A)?

A: From the given information, the probability that occurring event B is 0.47, probability that…

Q: Evaluate. (a) (– 6)2 (b) – 62

A: We have to solve given Questions.

Q: Suppose ℙ(?1|?2)=0.46P(E1|E2)=0.46, ℙ(?2|?1)=0.92P(E2|E1)=0.92, and ℙ(?1)×ℙ(?2)=P(E1)×P(E2)=0.24.…

A: * SOLUTION :-  From the given information the calculation is given as follows

Q: Given P(A and B) = 0.37, P(B) = 0.57, P(B|A) = 0.91, what is P(A)?

A: We have to find given probability.

Q: what is P(A)?

A: P(B) = 0.31, P(A and B) = 0.20, P(A or B) = 0.53

Q: Given P(A) = 0.38, P(B) = 0.44, P(A or B) = 0.27, what is P(A and B)?

A: P(AUB)=P(A)+P(B)-P(A∩B)

Q: Given P(A) = 0.35, P(B) = 0.31, P(A or B) = 0.26, what is P(A and B)?

A: P(A) = 0.35, P(B) = 0.31 and P(A or B) = 0.26

Q: Given P(A and B) = 0.02, P(B) = 0.80, P(B|A) = 0.73, what is P(A)?

A: Conditional probability formula P(B|A) = P(A and B) /P(A)

Q: = 0.40, what is P(A)?

A: Independent event- two events ( suppose A and B) are called to be independent events if the outcome…

Q: Given P(A) = 0.30, P(B) = 0.27, P(A or B) = 0.17, what is P(A and B)?

A:

Q: Given P(A and B) = 0.29, P(B) = 0.51, P(B|A) = 0.96, what is P(A)?

A: Given data, P(A and B) = 0.29  P(B) = 0.51 P(B|A) = 0.96 P(A)=?

Q: You are given these facts: p(A | B) = 5/11. p(B) = 11/16. p(A) = 4/16. What is p(AB)? 15/32 5/12…

A: According to the given information in this question We need to find the following probability

Q: Given P(B) = 0.40, P(A and B) = 0.14, P(A or B) = 0.51, what is P(A)?

A: P(B) = 0.40, P(A and B) = 0.14, P(A or B) = 0.51

Q: Given P(A) = 0.40, P(B) = 0.35, and P(A and B) = 0.12, what is P(A or B)?

A: Formula : P(A or B) = P(A) + P(B) - P(A n B)

Q: Given P(A) = 0.39, P(B) = 0.33, P(A or B) = 0.23, what is P(A and B)?

A: We have given that,  P(A) = 0.39, P(B) = 0.33, P(A or B) = 0.23 Then,  We wil find the  P(A and B)=…

Q: If P(A) = 0.73, P(A U B) = 0.88, and P(A n B) = 0.58, find P(B). O 0.15 0.26 0.58 0.73

A: P(A)=0.73P(AB)=0.88P(AB)=0.58

Q: Given P(A and B) = 0.25, P(B) = 0.85, P(B|A) = 0.93, what is P(A)?

A:

Q: What is the complement of P(A) if P(A)=0.68 P(¯¯¯AA¯)=

A: Given, P(A) = 0.68Formulas for compliments,P(Ac)=1-P(A)P(Bc)=1-P(B)P(A AND B)c=1-P(A AND B)

Q: what is P(B)

A:

Q: P(A) = 0.25, P(B) = 0.65, P(AU B)= 0.8 Find a) P(A|B)        b) P(B|A)

A: First we need to find P(AnB). P(AnB) = P(A)+P(B)-P(AUB) = 0.25+0.65-0.8 = 0.1

Q: Given P(A and B) = 0.07, P(B) = 0.56, P(B|A) = 0.62, what is P(A)?

A: We will use the conditional probability formula

Q: If P(A) = 0.4, P(B) = 0.9, \ and P(An B) = 0.3, \ then (a) P(A|B) = \ and (b) P(B|A) =

A: We have to find given probability...

Q: 7

A:

Q: Suppose that P(A) = 0.12, P(B) = 0.40 and P(B|A) = 0.60. (a) What is P(A and B)? (b) What is P(A…

A:

Q: Given P(B) = 0.29, P(A and B) = 0.27, P(A or B) = 0.48, what is P(A)?

A: Given, PB=.29PA and B=PA∩B=.27PA or B=PA∪B=.48 We have, PA∪B=PA+PB-PA∩B⇒   PA=PA∪B+PA∩B-PB…

Q: if P(A) = 0.65, P(B) = 0.8, P(AN B) = 0.55 Then, P(B | A) is Select one: a. 55 80 b. 55 65 C. 65 80…

A:

Q: (a) 6 + 7 + 8 + 9 + ··· + 600 -- (b) 6+ 7+ 8+9+ ··· + k

A:

Q: Given P(A and B) = 0.11, P(B) = 0.41, P(B|A) = 0.79, what is P(A)?

A: Given, P(A and B) = 0.11 P(B) = 0.41 P(B|A) = 0.79 P(A)=?

Q: Given P(A) = 0.40, P(B) = 0.20, and P(A and B) = 0.10, what is P(A or B)?

A: From the provided information, P(A) = 0.40, P(B) = 0.20, and P(A and B) = 0.10

Q: Given P(B) = 0.47, P(A and B) = 0.21, P(A or B) = 0.40, what is P(A)?

A: P(B) = 0.47 P(A and B) = 0.21 P(A or B) = 0.40

Q: Given P(A) = 0.37, P(A and B) = 0.14, P(A or B) = 0.58, what is P(B)?

A: We have given that                P(A)=0.37 , P(A∩B)=0.14  and P(A∪B)=0.58Since we know that…

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: Given P(B) = 0.30, P(A and B) = 0.15, P(A or B) = 0.43, what is P(A)?

A: Arrange to find P(A):

Q: P(A)=1/5 P(b)=7/20 P(A and B)=? P(A)=1/4 P(B)=3/5 P(A and B)=?

A:

Q: A number is randomly selected from the set {1,2, ·.. , 23!} (note that there is a factorial!). For k…

A: d) Given, Ak = selected number divisible by kP(Ak )=total numbers divided by kTotal numbers=…

Q: P(A) = 0.13, P(B) = 0.47, P (A ∩ B) = 0.05 Find a) P(A|B).   b) P(B|A)

A: P(A) = 0.13, P(B) = 0.47, P (A ∩ B) = 0.05   We know :

Q: P(A) = 0.5, P(B) = 0.3, P(A ∩ B)= 0.1 a) Find P(A given B).   b) P(B|A)

A: As per given by the question, there are P(A) = 0.5, P(B) = 0.3,and P(A ∩ B)= 0.1., then find PA…

Q: P(A) = 0.2, P(B) = 0.6, P(AUB)= 0.7 Find a) P(A|B)  b) P(B|A)

A:

Q: Given P(A) = 0.47, P(B) = 0.29, P(A or B) = 0.17, what is P(A and B)?

A: Given P(A) = 0.47 P(B) = 0.29 P(A or B) = 0.17

Q: P(a)=7/10 p(b)=3/5 p(a and b)=? P(a)=13/20 p(a and b)=13/50 p(b)

A: P(a).P(b)=p(a and b)