Problem 3. You play a game multiple times that has probability of winning equal to p € (0,1); assume the outcome each time you play is independent of the other times you played. Find exact expressions for the following. a) The probability that you win exactly three times in 10 plays. b) The probability that you win for the first time on your 10th play. c) The probability that you win for the third time on your 10th play.

Q: 1. Mayank plays exactly one sport everyday. It can be football or basketball or chess. For him, the…

A: Let us denote the event of playing chess by C, the event of playing football by F and the event of…

Q: If the probability that Tom will be alive in 20 years is 0.6 and the probability that Jim will be…

A:

Q: Jim has to take two consecutive exams to get a certificate. The probability for him to pass the…

A: The conditional probability of happening of event A when event B already happened, can be expressed…

Q: Chris can only afford to take one vacation. His 2 choices are A = Argentina, and B = Bermuda. The…

A: The question is about probability.Given :P ( A ) = 0.401P ( B ) = 0.423

Q: If A and B are mutually exclusive and the P(A) = 0.3 and P(B) = 0.4. %3D Find the probability of A…

A: We have given that,  P(A) = 0.3 and P(B) = 0.4 Then,  We will find the probability of A and B if the…

Q: In a particular area 40% of men and 15% of women are overweight and there are four men and three…

A:

Q: Player V and Player M have competed against each other many times. Historical data show that each…

A: The objective of the question is to find the probability that a match between Player V and Player M…

Q: Ahmed and Rashid are two friends. Probability that Rashid will live more than 20 years is 0.85.…

A:

Q: Lots of games like tennis have a concept of deuce, where if the game is ties at the end you have to…

A: The probability of winning the game is obtained below:From the given information, there are two…

Q: If the probability that one student can solve a problem is 4/5 and that the probability of another…

A:

Q: The probability that event A occurs is 1/5, the probability that event B occurs is  3/4 and the…

A:

Q: What is the probability of exactly 0 boys What is the probability of exactly 1 girl

A: The outcome for event couple has three children is: Ω= {GGG, GGB, GBG, GBB, BGG, BGB, BBG, BBB}…

Q: (a) Find the probability of the union between (getting the the flu) and (getting the flu shot). (b)…

A: Let A be the event that gets the flu. Let B be the event that gets a flu shot. P(A) = 0.2  P(B) =…

Q: If the probability that an event does no occur is 0.3 determine the probability that the event…

A:

Q: A small town has two fire engines available for emergencies and are operating independently. The…

A: From the provided information, Probability that a specific engine is available when needed is 0.96…

Q: Answers must be in 4 decimals The probability that a patient visiting his dentist will have an x-ray…

A:

Q: If the probability that a vaccine you took will protect you from getting the flu is 0.972, what is…

A: It is given that the probability that a vaccine will protect a person from getting the flu is 0.972.

Q: You're gambling at a casino. Suppose the probability that you win roulette is 0.461 and the…

A: Let A denotes winning of roulette and B denotes winning of blackjack. Given: PA=0.461PA∩B=0.181 A…

Q: Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if Bob goes…

A: Given, Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if…

Q: If the probability that a vaccine you took will protect you from getting the flu is 0.932, what is…

A:

Q: If probability of an event A is= .3 The probability of an event B= .4 The probability of (A…

A:

Q: A Student takes an exam with 10 questions suppose that a student was able to study a little for the…

A: Given that, A Student takes an exam with 10 questions suppose that a student was able to study a…

Q: If the probability that a vaccine you took will protect you from getting the flu is 0.016 , what is…

A: Given that, The probability that a vaccine you took will protect you from getting the flu is 0.016.…

Q: You play a game with your friend where your probability of winning is 5%. If you play the game 50…

A: Given that: Sample size (n) = 50 P = 5% By using binomial distribution we solve this problem

Q: Three friends (A, B, and C) will participate in a round-robin tournament in which each one plays…

A: Each person can win if: A wins BB wins CC wins A That is, A beats BB beats CA does not beat C

Q: The probability of success of three students X, Y and Z in the one examination respectively. are…

A:

Q: A tennis match of best of 5 sets is played by two players and B. The probability that first set is…

A:

Q: | finish the mathematics assignment is 0.70, and the pro poth assignments is 0.40. What is the…

A:

Q: Find the probability of an event E if the odds for E is equal to the odds against

A: Odds of an event:The odds an event is given by the ratio of the probability of the event to its…

Q: At a restaurant, the probability that a person ordering coffee will ask for cream is 0.54. The…

A:

Q: The probability of a man hitting a target is 4. How many times must he fire so that the probability…

A:

Q: Illustration 16.19. A bag contains 4 white and 5 black balls and another bag contains 6 white and 10…

A: Here, P(White |Bag 1) =4/9 P(White |Bag 2) = 6/16 P(Bag 1) =1/2 P(Bag 2) =1/2

Q: 7 c) The probability that Rudy passes Statistics is and the probability that he passes 10 4 3…

A: Given P(S) =7/10 P(E) =4/5 Probability of passing both course 3/5

Q: The probability that a student passes Math is 2/3, and the probability that he passes English is…

A: Let M=a student passes MathE=a student passes EnglishP(M)=23P(E)=49P(M∪E)=45