Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 3; B: the numbers add to 5; C: at least one of the numbers is 1; and D: the numbers do not add to 8. Express the given event in symbolic form. Either the numbers add to 5, or they add to 8, or at least one of them is 1. OBN D'UC O B'UD' UC OBUD'UC OBUDNC O BUD'UC How many elements does it contain? 1

Q: n this question, imagine a setting where two dice are about to be rolled. Assume the dice are…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: Given P(A) = 0.37 , P(B) = 0.38 , and P(AorB) = 0.27 , are events A and B mutually exclusive?

A:

Q: Given P(A and B) = 0.16, P(A) = 0.20, and P(B) = 0.80 are events A and B independent or dependent?

A: GivenP(A)=0.20P(B)=0.80P(A∩B)=0.16

Q: If A,B,C are mutually exclusive events with PĀ) = 0.45, P(B) = 0.36, then P(AN B) = a. 0.91 O b.…

A: PA=0.45 PB=0.36

Q: If A and B are independent events with P(A) = 0.5 and P(B) = 0.5, then P(A ∩ B) is   Question 9…

A: GivenA and B are independent events P(A)=0.5P(B)=0.5

Q: Given P(A) = 0.47, P(B) = 0.41, and P(A or B) = 0.88, are events A and B mutually exclusive?…

A: Events A and B are mutually  exclusive when  Hence, Event A and B are mutually exclusive.

Q: If A and B are disjoint events, then which statement below is true? OP(AIB)-0 OP(A and B) = 0 OP(A…

A: Given that, A and B are two disjoint events.

Q: Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die…

A: The operator "∩" denotes the intersection of sets. For example: nA∩B denotes the number of elements…

Q: If A and B are events with P(A)=0.4, P(A or B)=0.53, and P(A and B)=0.07, find P(B)

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Q: Given P(A) = 0.31, P(B) = 0.98, P(C) = 0.97 and that events A, B, and C are independent, what is…

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Q: Let A, and A, be mutually exclusive and exhaustive events, with P(A,)=.10 and P(A,)=.25. Let B by…

A: Solution: 15. From the given information,

Q: Given P(A) = 0.62, P(B) = 0.78, P(C) = 0.61 and that events A, B, and C are independent, what is…

A:

Q: Let's define two events A and B where P(A)=0.8 and P(B)=0.4. If P(A ∪ B)=1, what is P(Ac ∪ Bc)? 0.7…

A:

Q: Given P(A) = 0.47, P(B) = 0.41, and P(A or B) = 0.88, are events A and B mutually exclusive?

A: Mutually exclusive events: The two events A and B are mutually exclusive events, then probability P…

Q: Suppose events A and B are NOT disjoint, and that P(A) = 0.3 and P(B) = 0.15. What is P(A or B)? 2.…

A: Disjoint events:   Let A and B be any two events, if the events A and B are mutually exclusive or…

Q: Given P(A) = 0.35, P(B) = 0.08, and P(A or B) = 0.43, are events A and B mutually exclusive?

A: Given: P(A) = 0.35 P(B) = 0.08 and P(A or B) = 0.43

Q: Given P(A) = 0.51, P(B) = 0.79, and P(A or B) = 0.66, are events A and B mutually exclusive?

A:

Q: If A and B are independent events with P(A) = 0.5 and P(A ∩ B) = 0.12, then, P(B) = Question 27…

A:

Q: given p(a)=0.23, P(B)=0.05, P(C)=0.65 and that events A,B and C are independent, What is P(A,B, and…

A: given p(a)=0.23, P(B)=0.05, P(C)=0.65 and that events A,B and C are independent, What is P(A,B, and…

Q: Given P(A) = 0.59, P(B) = 0.51, P(C) = 0.09 and that events A, B, and C are independent, what is…

A:

Q: a)Suppose events E and F are mutually exclusive with P(E)= 0.15 and P(F)= 0.75. (i) What is the…

A: We have given that  P(E)= 0.15 and P(F)= 0.75. IF A and B are mutually exclusive.  P ( A U B ) = 0…

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

A:

Q: Consider events C and D, such that P(C′)=0.6, P(D′)=0.4 and P(C∩D)=0.3. Find P(C|D)

A: Given that, P(C′)=0.6 P(D′)=0.4 P(C∩D)=0.3

Q: Let A, B, and C be independent events with P(A)= 0.8, P(B)= 0.3, and P(C)=0.4 Find P(A and B and C).…

A: given A, B, and C be independent events  P(A)= 0.8, P(B)= 0.3, and P(C)=0.4 P(A and B and C ) = ?

Q: (5) If two events A and B are mutually exclusive, then the joint events, AnC and BOC are also…

A:

Q: Given the following information about events A, B, and C, determine which pairs of events are…

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Q: Select the events that are dependent. A. Drawing a face card from a standard deck of 52 playing…

A: (a). In such situation the draw of another face card doesn't depend on the previous activity so this…

Q: Consider two events A and B. Use Venn diagram to show that (AU B) \ A = B\ A

A: For any two events A and B. Using venn diagram,  we need to show that: (AUB)\B = B\A

Q: Given P(A) = 0.104, P(B) = 0.049, and P(C) = 0.058, and that events A, B, and C are mutually…

A: Given P(A) = 0.104, P(B) = 0.049, and P(C) = 0.058, and that events A, B, and C are mutually…

Q: Consider two events, A and B, where P(A) > 0 and P(B) > 0. If A and B are independent, then the…

A:

Q: If A,B,C are mutually exclusive events with P(A) =0.25, P(B) = 0.22, P(C) = 0.75 then PAUBUC) O a.…

A: Given, A,B,C are three events with PA¯=0.25,PB¯=0.22,PC=0.75

Q: Consider 3 events as illustrated in the following Venn diagram. S A1 A2 0.02 0.05 0.03 0.20 0.06…

A:

Q: Nicole packs 3 blouses (A, B, C) and 2 skirts (D, E). c. If event M is wearing blouse C or skirt E,…

A: Given: There are 3 blouses(A,B,C) and 2 skirts(D,E)

Q: Given P(A) = 0.34, P(B) = 0.60 , and P(AorB) = 0.24 , are events A and B mutually exclusive?

A: Let A and B are two events The given probabilities are, P(A) = 0.34, P(B) = 0.60 ,  P(A or B) = 0.24…

Q: Suppose A, B, and C are events so that P ( A ) = 0.2 , P ( B ) = 0.5 , P ( C ) = 0.3 , P ( A ∩ B )…

A: P(B)×P(C)=0.5×0.3=0.15=P(B∩C) Since we get P(B∩C)=P(B)×P(C), so B and C are independent.

Q: If A and B are independent events associated with an experiment P(A)=0.4, P(AUB)=0.7, then the…

A:

Q: If A and B are events with P(A)=0.7, P(A OR B)=0.89, and P(A AND B)=0.01, find P(B).

A: Solution-: Given: P(A)=0.7,P(A OR B)=0.89, P(A AND B)=0.01  We find P(B)=?

Q: Given P(A) = 0.21, P(B) = 0.99, P(C) = 0.31 and that events A, B, and C are independent, what is…

A: We have given that  P(A) = 0.21, P(B) = 0.99, P(C) = 0.31 And events A, B and C are independent.

Q: Suppose A and B are events with P(A) = .6, P(B) = .2, and P(Bn A) = .4. Find (a) P(AU B), and (b)…

A: GivenP(A)=0.6P(B)=0.2P(Bc∩A)=0.4

Q: Iftwo events, A and B, are such that P(A) =.5, P(B) = .3, and P(A N B) =.1, find the following: a.…

A: It is given that, P(A) =0.5  P(B) =0.3 P(A∩B) =0.1

Q: Given P(A) = 0.20, P(B) = 0.30, and P(A or B) = 0.50, are events A and B mutually exclusive?

A: Solution: Mutually exclusive events: Two events A and B are said to be mutually exclusive when the…

Q: Consider five mutually exclusive events, V, W, X, Y, and Z, respectively, where P(V) = 0.08, P(W) =…

A: Mutually Exclusive Events :  A and B are mutually exclusive events if they cannot occur at the same…

Q: Given P(A) = 0.045, P(B) = 0.010, and P(C) = 0.084, and that events A, B, and C are mutually…

A: Given,P(A)=0.045P(B)=0.010P(C)=0.084and  A, B , C are mutually exclusivei.e…

Q: Given P(A) = 0.21, P(B) = 0.11, and P(A or B) = 0.23, are events A and B mutually exclusive?

A:

Q: Given P(A) = 0.15, P(B) = 0.45 , and P(AorB) = 0.35 , are events A and B mutually exclusive?

A: Given,  PA=.45,  PB=.15  PA or B=.35 If two events A and B are mutually exclusive, then  PA or…

Q: Given P(A)=0.37, P(B)=0.38, and P(A or B)=0.27, are events A and B mutually exclusive?

A: If A and B are mutually exclusive then P(A or B) = P(A) + P(B) Here, P(A or B) = 0.27 and P(A) +…

Q: If event A is a subset of event B, then P(AN B )is

A: Ans: If event A is a subset of event B, then P( A∩Bc )  is

Q: Given P(A) =0.3 and P(A or B) =0.7, then what is P(B) if events A and B are mutually exclusive?

A: It is given that, P(A) =0.3 and P(A or B) =0.7 Since event A and B are mutually exclusive. Thus, P(A…

Q: and ?B are independent events with ?(?)=0.3P(A)=0.3 and ?(?)=0.4P(B)=0.4, calculate the following:…

A: If the probability of occurrence of one event is not affected by the probability of occurrence of…

Q: Given P(A) = 0.34, P(B) = 0.60, P(C) = 0.21 and that events A, B, and C are independent, what is…

A: