(Slot machines) At a casino there are two kinds of slot machines, which look quite inden- tical from the outside. In machines of type A, the winning probability is 5%. In machines of type B, the winning probability is 7%. We also know that 70% of the machines are of type A, and 30% are of type B. (a) A gambler picks a slot machine at random, and plays once. What is the probability that he wins? (b) If the gambler wins, what is the probability that the machine is of type B?

Q: New York Pizza, a bar on Magazine Street near Napoleon Avenue, has a dice game that works as…

A: Given information: The number of chances given to the player in the dice game is n = 3. It is said…

Q: You are playing a dice game with some friends. In order to win, you need to roll five threes in a…

A:

Q: 5. At Jaxlyn's Garage, 200 cars were inspected and repaired. There were 92 cars that needed new…

A: Probability of an event is computed by taking the ratio of number of favourable outcomes of the…

Q: 4. A bag has 9 coins in total. There are three coins that have "heads" on both sides; four coins…

A: The bag has total 9 coins.

Q: Your friend rolls an "unusual" six-sided die many times. She reports the probabilities of the…

A: (a). There are 6 numbers in a roll of a unusual die We know that , in a probability distribution sum…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Find the probability that Suzan get all the red marbles as follows. The total number of outcomes is…

Q: John finds a bill on his desk. He has three options: ignore it and leave it on his own desk, move…

A: Given that

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Total Marbles = 3 Red + 4 Green + 3 White + 1 Purple = 11 To Find P(Not all red) = 1 - P(All red)

Q: In a certain town 90% of the people believe in global warming; 10% of the people do not. What is the…

A: The probability mass function of binomial distribution is given below:

Q: In government data, a family consists of two or more persons who live together and arc rclated by…

A:

Q: What is the probability that Kylo passes the accounting test? (ii.) Given that Kylo passes the…

A: Kylo’s accounting skills can be categorized as Good, Fair, or Poor, each with equal probability.…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Given that the bag has 3 red marbles, 2 green ones, 5 white ones, and 2 purple ones. So there are…

Q: grabs five of them. Find the probability of the following event, expressing it as a fraction in…

A:

Q: A small bag of skittles has 8 red, 9 blue, and 3 green candies. A box of chocolates has 4 cherry, 10…

A:

Q: Randa is playing a board game. The players take turns rolling a pair of number cubes. On her next…

A:

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

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: 2. You are taking a 5 question test and have to guess all the answers (each question has only 1…

A:

Q: In a small town there are three competing lawn service companies, A, B, and C. Each has a certain…

A: Given, In a small town there are three competing lawn service companies, A, B, and C. Each has a…

Q: In a certain high school, 11% of the students like math, while 18% of the students like chemistry.…

A: 0.0198 x 100= 1.98%

Q: Imagine you are betting on a horse race. Say you bet on horse #3 to win first place and horse #12 to…

A: Given that there are 20 horses.  The first horse can be selected in 20 ways and the second horse can…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Given that the bag has 2 red marbles, 3 green ones, 2 white ones, and 2 purple ones. So there are…

Q: In an amusement arcade there is a horse race with horses coloured red, yellow and green. Only one…

A: In this amusement arcade scenario, players have the option to bet either 10p or 20p on a horse race…

Q: Three airlines serve a small airport. Airline A has 55% of all scheduled flights, airline B has 33%…

A:

Q: Unlike craps and roulette, where each throw or spin is independent of the one before it, in…

A:

Q: In a city, 40% of the population have brown hair, 25% have brown eyes and 15% have both brown hair…

A:

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Lets, specify the event E as, Suzan has no more than one white marble among the 5 marbles. The…

Q: Find the expected value of the psychic's profit by filling in the boxes below with you answers. Use…

A: Reviewing information, PBoy=0.51P(Girl)=0.49Cost=$20If psychic is wrong, he has to pay back $20

Q: Use combinations to answer the following problem: I want to choose a group of students from my…

A: Combination:It represents the number of ways to choose x elements from a set of n elements. In…

Q: If Mrs. Hiatt chooses two students, what is the probability that Emily will not be one of them?

A: Mrs. Hiatt puts the names of all 15 of her second period students on popsicle sticks and places them…

Q: Say that a game consists of two steps. First, you roll a die. If you roll a 1 or a 6, you continue;…

A: Given that  1 or 6 win a game