1. Hank and Vernon will play a best-of-three horseshoe-pitching match. (The first pitcher to win two games wins the match.) Hank has probability ¾ of winning each game, independent of the history. (i) What is the probability that the match ends after two games? (ii) If a third game is needed, what is the probability that the winner of the second game will win the third?

Q: Two aeroplanes bomb a target in succession. The probability of each correctly scoring a hit is 0.3…

A:

Q: Two cards are selected with replacement from a standard deck of 52 Find the probability of selecting…

A: the probability of selecting a 4 and then selecting a 5 selecting a 4 have  4 possible cases…

Q: 4) A box contains 10 red and 12 white rose flowers. Flowers are picked up at random one by one…

A: The number of red flowers in the box are 10. The number of white flowers in the box is 12.

Q: An urn contains 3 one-dollar bills, 1 five-dollar bill and 1 ten-dollar bill. A player draws bills…

A: Given that ,No. of 1 dollar bill = No.of 5 dollar bill = 1No.of 5 dollar bill = 1No.of 10…

Q: Three players Dan, Emily, and Frank are tossing a biased coin with P(H) = α. They rotate turns…

A: P(H)=α

Q: abitha and her mother went to the pet store. Her mother told her she could either choose a cat, dog,…

A: Given Tree :

Q: If A and B are any two events with P(A) =.8 and P(B|A) = 0.4, then the probability of A and B is?

A:

Q: Tom,Dick and Harry have three deck of cards.If each of them pick one card from their own deck at…

A: In each deck of 52 cards, there are 4 aces. So the probability of picking a ace is= 4/52 =1/13

Q: A card is dealt from a complete deck of fifty-two playing cards (no jokers). Use probability rules…

A: a) There are total 52 cards in a standard deck of cards. So, n(all)=52 There are only 1 card of 2 of…

Q: Suppose events B and C are independent and P(B) = 1 P(C) = 1 3 6 Find the probability. (Enter the…

A: Here given that P(B) = 13     P(C) = 16A, B are independent so P(A,B) = P(A).P(B)

Q: A marksman scores a bull's eye on 90% of his shots. (Assume the shots are independent.) (a) What is…

A: Solution : P = Probability of scoring a bull's eye in a  shots. = 90% = 0.90 All shots are…

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: (a) Keith has a box of candies and will randomly choose one piece. The odds against choosing a…

A: Solution :-

Q: A ball is drawn randomly from a jar that contains 3 red balls, 9 white balls, and 6 yellow ball.…

A:

Q: A game has three possible outcomes: X, Y, or Z. If P(X) = 0.6 and P(Y) = 0.3, what is the…

A:

Q: Joan is playing a game. She is flipping a coin until a Head shows up. Her friend Susan has placed a…

A: Given datajoan is playing a gamep=0.5

Q: Candidates A, B, and C are running in an election. There will be no ties. Ahead of the election, you…

A: Suppose, Probability that Candidate A wins = a Probability that Candidate B wins = b Probability…

Q: 60% of homeowners in Northern Virginia have a weekly lawn service. Those homes with a lawn service,…

A: Note: Hey there! Thank you for the question. As you have posted multiple sub-parts, we have solved…

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: Sam and Allen have applied for scholarships. The probability that Sam gets a scholarship is 0.93.…

A: Given data: The probability that Sam got a scholarship is P(s)=0.93. The probability that Allen got…

Q: A couple plans to have three children. There are eight possible arrangements of girls and boys. For…

A: a) The couple plans to have 3 children.

Q: You are rollling two dice and the results are added. Find Probability of: Sum not equal to 8…

A: rollling two dice  [(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4),…

Q: Question : John is having a dinner at a restaurant, which sells 3 kinds of dishes, A, B, and C. The…

A: The probability of ordering 3 kinds of dishes A, B, and C are 0.4, 0.3, and 0.3. The probability of…

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: (a) Kareem is on a game show. He will choose a box to see if he wins a prize. The odds in favor of…

A:

Q: The route used by a certain motorist in commuting to work contains two intersections with traffic…

A: Given that, The route used by a certain motorist in commuting to work contains two intersections…

Q: A gumball machine contains 6 red gumballs, 5 blue gumballs, and 4 yellow gumballs. You put a coin in…

A:

Q: Two basketball players are very different when it comes to making free throws. Justin makes 90% of…

A: Let, X = Number of free throws Justin makes.And Y = Number of free throws mark makes.Given,Justin…

Q: Three boys, Kofi, E 11 target are a 4 3 (i) they all miss,

A: Solution

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

A:

Q: Four people are running for class​ president: Liz,​ Fred, Sue, and Tom. The probabilities of​ Fred,…

A: Given The probabilities of​ Fred, Sue, and Tom winning are 0.23​, 0.28​, 0.12

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: (a) A child has a box of candies which might have a toy inside. The odds against the box having a…

A: (a)  answer is 219 probability