Suppose you roll 2 six-sided dice and sum the faces that show. Let A be the event that the sum is less than or equal to 5, B be the event that the sum is even, and C be the event that the sum is greater than or equal to 8. Compute P(B | A) and P(C | A).

Q: 2. At a social gathering n individuals wish to play a game. Each individual places their mobile…

A:

Q: A lot of 11 components contains 4 that are defective. Two components are drawn at random and tested.…

A: The probability of event A, P(A), is the probability that the first component drawn is defective.…

Q: A blue die and a red die are thrown. B is the event that the blue comes up with a 4. E is the event…

A: Two dice of blue and red colors are given here.The event represents the blue dice with a 4.The…

Q: A and B are two events. If P(A) =0.18, P(B) =0.33, P(A|B) =0.59 Find the P(A and B)

A: P(A) = 0.18 P(B) = 0.33 P(A|B) = 0.59 P(A and B) = ?

Q: a. You are going to choose a number randomly from the set {1, 2, 3, . 23, 24}. What is the…

A: Given that  Set of numbers=S=(1,2,3,_______,23,24) n(S)=24 Number divisible by 4=A=(4,8,12,16,20,24)…

Q: Suppose the probability that you will be elected president of AUSG is 0.15, and the probability that…

A: Solution

Q: Two dice are rolled. Each comes up with a number between 1 and 6. Let A be the event that the number…

A: Two dice are rolled.Sample space S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4)…

Q: In an election, suppose that 51% of the voters in fact support funding the new CRC library building.…

A: 51% of voters support fundin the new library building.Sample size The objective is to find the…

Q: Suppose that A and B are events such that P(A) = 1/4, P(B) = 1/3, and P(A or B) = 1/2. a. Are events…

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Q: One of two archers – Jeff or Tom – is chosen at random (with equal probability) to shoot at a…

A:

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: Suppose that A and B are mutually exclusive events with P(B) = 0.224 and ?(?∪?) P(A∪B)= 0.673.…

A: From the provided information, P (B) = 0.224 and P (A U B) = 0.673 The events A and B are mutually…

Q: You throw two six-sided dice.  Let event A represent the event that the sum of the two dice equals…

A:

Q: Two dice are tossed once. E1 is the event that the first die equals 4, and E2 the event that the sum…

A: Solution : Given : Two dice are tossed once. ∴ Ω   = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6),…

Q: Cards are dealt from a full standard deck of 52 cards. Find the probabilities of: •The first card…

A: Given data: The total numbers of cards are n=52. The numbers of clubs are c=13. Write the expression…

Q: 2. Cards. A deck of 52 cards is shuffled and dealt. Find the probabilities of the following events:…

A: a)  This account  for negative binomial distribution, where, there are N=52 cards, probability of…

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: Consider two disjoint or mutually exclusive events A and B. If P(A)=0.7 and P(B)=0.2 find P(A or B)

A: Given P(A)=0.7 and P(B)=0.2  A and B are mutually exclusive

Q: Billy randomly selects a card from a standard deck. The probability of him selecting a king or a…

A: We have given that the Billy randomly selects a card from a standard deck. The probability of him…

Q: If P(A|B) = 0.5 and P(B) = 0.5, then the events A and B are independent. ture or fals

A: Given :  P(A|B) = 0.5 P (B) = 0.5 A and B are independent events. Then,

Q: Suppose you have a jar that includes six balls, two red balls, three green balls, and one blue ball.…

A: In first draw there are 6 balls in the jar and out of them 2 are red. Hence probability of selecting…

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: L6Q4.If A and B are dependent events, to find the probability that the two dependent events would…

A: Dependent events:Two events are said to be dependent when the outcomeof the first event influences…

Q: A bag contains 9 red marbles, 6 white marbles, and 7 blue marbles. You draw 3 marbles out at random,…

A: It is given that Number of red marbles = 9 Number of non-red mables = 13 Total = 22 Sample size = 3…

Q: If events C and D are mutually exclusive, then P(C and D) = A. 1 B. 0 C. .50 D. the sum of the…

A: Given data is The events C and D are mutually exclusive

Q: Suppose that E and F are two events and that P(E)=0.5 and P(FIE) = 0.6. What is P(E and F)? P(E and…

A: GiveP(E)=0.5P(F|E)=0.6

Q: Let a pair of fair dice be tossed. If the sum of obtained values is 6 the probability that one of…

A: From the provided information, A pair of fair dice be tossed. Total outcomes = 36

Q: Suppose E and F are two possible events that are independent of one another. Would it be true that…

A: GIVEN DATA : E and F events are independent of one another.     TO SHOW : The complements of E &…

Q: Suppose two dice are rolled. Let A be the event that the sum ofthe two dice is 7. Find an event B…

A: Given: Two dice are rolled. A is the event that the sum of the two dice is 7. Possible outcomes when…

Q: The events A and B are mutually exclusive. If P(A) = .31 and P ( B) = .42, what is the P( A or B)

A: It is given that  P(A) = 0.31 P(B) = 0.42

Q: Two unbiased dices are thrown simultaneously. Let "A" denote the event that the sum is 8 and "B" the…

A: The sample space of two dice isTherefore, the total number of outcomes are 36.

Q: wo fair dice are rolled. Event A = {the sum on the two dice is more than seven} Event B = {the two…

A:

Q: Let A and B be independent events. Express the probability P(A ∪ B) in terms of the…

A: Given, A & B are independent events.

Q: The events A and B are mutually exclusive. If ​P(A)=0.6 and ​P(B)=0.2​, what is​ P(A or​ B)?

A:

Q: Suppose that E and F are two events and that P(E) = 0.5 and P(FIE) = 0.3. What is F P(E and F)=…

A: We have given that,  If E and F are two events with,  P(E) = 0.5, P(F|E) = 0.3 Then,  P( E and F ) =…

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