(a) List all outcomes in S. S = (b) Let A denote the event that 1 wins the tournament. List outcomes in A. A = (c) Let B denote the event that 2 gets into the championship game. List outcomes in B. B = (d) What are the outcomes in A u B? AUB= What are the outcomes in A n B? An B = What are the outcomes in A'? A' =

Q: t is the probability of obtaining 2 boys out of 5 children if the probability of a boy is .51 at…

A: Binomial distribution allows us to compute the probability of observing specified number of events…

Q: There are three events C1, C2, C3 with the probabilities p1, p2, P3 respectively. If /5, and p3 =…

A:

Q: n. The card is replaced in the pack and B A draws a card from a pack of n cards marked 1, 2, draws a…

A:

Q: Suppose we roll two fair six-sided dice, a red die and a yellow die, and record the outcomes in…

A: It is given that two fair six-sided dice. One is red color die and another one is yellow color die.

Q: a) Two events, A and B, are such that P(A U B) = 0.86, P(B) = 0.72 and P(A) = 0.64. Determine (i) P…

A: P(A∪B)=0.86P(B) = 0.72P(A) = 0.64

Q: Let Event A = crime is a homicide and Event B = crime committed between midnight and 12:59 AM.…

A: Given: Let Event A = crime is a homicide Event B = crime committed between midnight and 12:59 AM.

Q: - 2. A, B, and C are events with P (A) and C are independent, and P(BIC) 0.3, P(B) = 0.4, and P(C) =…

A: Note: Hi! Thank you for the question. As you have posted multiple independent questions, as per our…

Q: Refer to the table which summarizes the results of testing for a certain disease. Positive Test…

A: Given data is,   Positive Test result Negative Test result Total Subject have the disease 8 1 9…

Q: 3. Suppose all () poker hands are equally likely. What is the probability of being dealt a) a flush?…

A: Assuming that all 525 poker hands are equally likely.

Q: a. P(A’)   d. P(A’∩B’) b. P(A∪B)     e. P[(A∪B)’] c. P(A’∩B)      f. P(A’∪B)

A: Here use venn diagram to answer the question

Q: and red) totaling 25 balls. If ive blue balls are added to he probability of drawing a vill be…

A: *Answer:

Q: 25. A fair die is rolled and a card is drawn at random. What is the probability that the die is even…

A: a) There are 6 outcomes when a die is thrown.  There are 52 cards. So the total number of cases=…

Q: V) Two fair dice are tossed. What is the probability that the sum of the number of dots shown on the…

A: V). Two fair dice are rolled.

Q: The probability that both (2 : are black is

A: here given  in first bag : 5 white , 5 black balls    , total 10 balls  in 2nd bag : 3 white , 7…

Q: Let A, and A, be two events such that P[A] = 1/2. P[A2] = 3/5 and P[A2|A1] = 2/5 Then: %3D O PLA, n…

A: Solution: From the given information,

Q: Find the probabilities A) P (B) B) P (B/A) C) Are events A and B independent?

A: A) From the Venn diagram n(S)=5+4+10+6=25And n(B)=4+10=14So, P(B)=n(B)n(S)=1425

Q: Six boys or five girls are to line up in a bus stop what is the probability that A) the boys and…

A: It is given that there are six boys and five girls.

Q: 1. Two events have P(A) = P(BIA) = and P(A/B) = Compute P(A n B), P(B), P(A U B). 2. A, B, and C are…

A:

Q: For two events ,A and B,P(A)=0.4, P(B)=0.2 and ,p(A|B)=0.6 Find a)p(A ∩B) b)p(B|A) c)p(B,|A)

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: B B' Total A 96 40 A' 69 45 Total 1. Sum the column and the row totals 2.…

A: We have,   B B' Total A 96 40   A' 69 45   Total

Q: 1. Two events have P(A) = P(B|A) = and P(A/B) = Compute P(A n B), P(B), P(A U B). 2. A, B, and C are…

A:

Q: A box contains 20 balls, of which 10 are red and 10 are blue. We draw ten balls from the box, and…

A:

Q: For two events, A and B, we have P(A) = 0.85, P(B) = 0.65, and P(AUB) = 0.9. Then, the value for…

A: P(A)  = 0.85  P(B) = 0.65  P(A∪B) = 0.9P(B|A) = ?

Q: Complete the following table and use it calculate the probabilities given below. A AC Total a. PA or…

A: Given data is:   B Bc Total A 0.443 0.218   Ac       Total 0.567   1

Q: Q2) A bag contains 5 white balls and 5 black balls; another contains 3 white balls and 7 black…

A: Given bag 1 contains 5 white balls and 5 black balls; bag 2 contains 3 white balls and 7 black…

Q: 27. Sena put the well-shuffled standard deck of 52 cards on a table. What is the probability that…

A:

Q: 13. Suppose that E and F are two events and that P(E)= 0.6 and P(F|E) = 0.7. What is P(E and F)? P(E…

A:

Q: 6a. Supposed P(A) = .45, P(B) = .24, and events A and B are mutually exclusive. Find... a. P(A or…

A:

Q: 2. Two events A and B are mutually exclusive with probability (A)=0.5 and probability (B)=0.4 Find…

A: Given: A and B are mutually exclusive events.

Q: 3. A group of students went on a school excursion. 2 of the students are to be randomly selected…

A: As per the Bartleby guildlines we have to solve first question and rest can be reposted.....…

Q: Let A and B are two events, not mutually exclusive. Suppose that P(A) =0.40, P(B)=0.32 and P(A or…

A: It is given that the We have two events A and B with information like P(A) = 0.40, P(B) = 0.32 and…

Q: Let A and B be the two events with MA) =065. P(B)=045 and PLA B) = 025 a. Draw a Ven diagram to…

A: Given : P(A) = 0.65 P(B) = 0.45 P(A∩B) = 0.25

Q: Consider a game in which a coin will be flipped three times. For each heads you will be paid $100.…

A: A coin flipped three times , P(head) = 2/3 P(tail) = 1 - P(head) = 1 - 2/3 = 1/3 For each head you…

Q: 3. Two events A and B are such that P (A) = 0.6, P (B) = 0.4 and P(A/B) = 0.2 Find a) P(ANB) b)…

A: it is given that  P(A) = 0.6 P(B) = 0.4 P( A/B ) = 0.2   Note: According to Bartleby expert…

Q: Given two events, A and B, with P(A) = 4 and P(B)- .35, find P(An B) if you also know that.. (a) A…

A: Two events are said to mutually exclusive when they cannot occur simultaneously where as they are…

Q: 3a) Luis is applying for admission to a University. He must complete a written application, and then…

A: 3) a) probability of being approved on the written application=0.60 probability of being approved by…