III) A sample space S consists of five simple events with these probabilities: P(E₁) = P(E₂) = 0.15, P(E3) = 0.4, P(E4) = 2P(E5). Find the probabilities for simple events E4 and E5. IV) You toss two fair coins and observe the outcome. Let A be the event that 'Head on the first coin' and B be the event 'Tail on the second coin'. Are events A and B independent? Justify your answer.

Q: Suppose that A, B are two events such that P(A)  = 0.7, P (B) = 0.55 and P  (A / B) = 0.6 Find P (A…

A:

Q: Suppose that E and F are two events and that P(E and F) = 0.3 and P(E)=0.8. What is P(FIE)? P(FIE)=…

A: given data  P(E and F) = 0.3 P(E) = 0.8 P(F|E) = ?

Q: A and B are events with P(A)=0.3, P(A OR B)=0.89, and P(A AND B)=0.01, find P(B).

A: Given that ; If A and B are events with P(A)=0.3, P(A OR B)=0.89, P(A AND B)=0.01, find P(B) By…

Q: You go to the library.  Let events C= you check out a book and A = you check out a         DVD.…

A: You go to the library. Let events be: C= you check out a book A = you check out a DVD P(C) = 0.40…

Q: A and B are two events. If P(A) = 0.20. P(B) = 0.31. P(A/B) = 0.62. Find P(A and B)?

A: Answer: From the given data, P(A) = 0.20 P(B) = 0.31 P(A|B) = 0.62

Q: A and B are two events such that P(A) = 0.36, P(B) = 0.41, P(A or B) = 0.53 then What is P(A and…

A: Answer: From the given data, P(A) = 0.36 P(B) = 0.41 P(A or B) = 0.53

Q: Every customer in a restaurant is served water. I represents a randomly selected customer that…

A: Given events; I: a randomly selected customer that has water with ice. L: a randomly selected…

Q: Consider two events, A and B, such that P(A) = 0.6, P(B) = 0.7 and P(A intersection B) = 0.4. What…

A: There are two events A and B, and their probabilities are shown below;.

Q: A sample space consists of five simple events with P(E₁) = P(E₂) = 0.2, P(E) = 0.45, and P(EA) =…

A:

Q: Two events A and B are having the probabilities P(A)= 0.32, P(B) = 0.5, P(A or B) = 0.61 What is the…

A: Answer: From the given data, A and B are two events with probabilities P(A) = 0.32 P(B) = 0.5 P(A or…

Q: Step 3 Thus, we have found P(E5) = 0.1. Now use this value to calculate P(E4) using the second…

A: P(E5)=0.1

Q: If A and B are events with P(A)=0.6, P(A OR B)=0.98, P(A AND B)=0.02, find P(B).

A:

Q: If A and B are two mutually exclusive events with P(A) = 0.6 and P(B) = 0.3, find the following…

A:

Q: Suppose C and D are events in a probability space, with probabilities P(C) = 0.2400, P(D) = 0.1300,…

A: Given Suppose C and D are events in a probability space, with probabilities P(C) = 0.2400, P(D) =…

Q: A and B are two events. If P(A) =0.27, P(B) =0.30, P(A|B) =0.50 Find the P(A and B') ?

A: Answer: From the given data, P(A) = 0.27 P(B) = 0.30 P(A | B) = 0.50

Q: Suppose that E and F are two events and that N(E and F)=340 and N(E)=720. What is P(FIE)? P(FIE)…

A: Given,N(E and F) = 340N(E) = 720Using formula,

Q: Suppose that E and F are two events and that N(E and F)=380 and N(E)=850. What is P(FIE)? P(FIE)…

A: We have given that N(E and F) = 380 N(E) = 850 We have to find P(F/E) = ?

Q: Consider two independent events A and B.Suppose it is known that P(A)=0.27 and P(A or B)=0.5474.…

A:

Q: If P(A) = 0.6 and P(B) = 0.5, then A and B can be disjoint events. true or false?

A:

Q: 8. Two events, A and B, are such that P(A)=.45,P(B) = .65,Pl B)=.25, determine PBN

A:

Q: and B are events such that P(A)= 2/7 and P (A&B)= 3/25. Determine P (B I A).

A: Given data,P(A)=27P(A & B)=325P(B|A)=?

Q: Suppose that A and B are events such that P(A) = 2/7 and P(A&B) = 3/25. Determine P(B| A).

A:

Q: If A and B are any two events with P(A) = 0.9 and P(B|A) = 0.5, then the probability of A and B is?

A:

Q: Suppose A and B are events in a sample space with P(A) = 0.61, P(B) = 0.66, P(BUA) = 0.93 Find the…

A:

Q: Suppose that A, B are two independent events, with P(A) = .1 and P(B) = .2. Find P(A|B).

A:

Q: If A and B are two events of a sample space then p(A)=0.2 and p(B)=0.6 a d p(A/B)=0.5 then P(A/B)=

A:

Q: The events A and B are mutually exclusive. If P(A) = .33 and P ( B) = .26, what is the P( A or B)

A: Given that  P(A) = .33 and P ( B) = .26

Q: Let a&b be events with p(a)=0.2,p(b)=0.8, & p(b/a)=0.3. Find p(a&b)

A: Given Information: A and B are two events. P(A) = 0.2, P(B) = 0.8, P(B|A) = 0.3 To find the…

Q: A and B are both events in sample space S.   P(A)=0.4 P(B)=0.3 P(A and B) =0.2   What's the…

A: A and B are both events in sample space S. Given, P(A)=0.4 P(B)=0.3 P(A and B) =0.2

Q: Suppose that, for events A and B, P(A)= 0.2, P(B)= 0.85, and P(AandB)= 0.17.   Are A and B…

A:

Q: Question 6 Given two events, A and B, with P(A)=,7 and P(B)= .2, find P(AnB) if you also know that.…

A: Reviewing information, P(A)=0.7 P(B)=0.2

Q: Let A and B be events with P(A)= and P(AUB) = find o P(A\B) ナ O P(AAB),a P(A\B°)

A:

Q: Suppose that E and F are two events and that P(E and F)=0.48, P(F)=0.55, and P(E)=0.5. What is P(F…

A: Suppose that E and F are two events and that P(E and F)= 0.48 P(F)=0.55 and P(E)=0.5 What is P(F |E)…