2) Suppose 15% of cereal boxes contain a prize. You are determined to buy cereal boxes until you win a prize. What is probability that you will have to buy more than 4 boxes and what is the average number of boxes you will need to buy before you get a prize?

Q: Juan has a fair six-sided die, if Juan rolls the die twice in a row, what is the probability that…

A:

Q: If a fair coin is tossed three times: What is the probability of getting 3 Heads? b) What is the…

A: Let p be the probability of getting head. Since coin is fair then p = 0.5 Let X denote the number of…

Q: Catherine Chao, director of marketing research, needs a sample of Kansas city households to…

A:

Q: If you flip a coin four times, what is the probability of getting at least a head and at least a…

A: probability of getting at least a head and at least a tail =1- Probability of having no head and…

Q: (i) If 3 dice are rolled, how many "6s" do you get on average? (ii) How many times on average do you…

A: Given: Number of dice rolls (n) = 3 Probability of 6 (p) = 16 Let X denote number of times 6 comes…

Q: When Susan and Jessica play a card game, Susan wins 60% of the time. If they play 9 games, what is…

A: We will use binomial distribution for this problem For every trial  For Jessica ;  probability for…

Q: if two dice are cast, what is the probability that the sum will be less than 5?

A: Two dice are thrown together. Nedd to find the probability that numbers on the two faces sum/add is…

Q: (d) Suppose the left-turn lane is to have a capacity of five cars and one bus is equivalent to three…

A: Here given joint distribution table for x and y X = no of cars Y = no. Of buses

Q: The problem claims that 67% of the rural population has access to the power grid. If a sample of 10…

A: To find the probability that 8 can actually connect to the power grid of rural families.

Q: If the probability of a child being a girl is 1/2, and a family plans to have six children, what are…

A: It is given that family plans to have six children. So, Total number of sample space is =26=64 The…

Q: 3. A risk-averse individual is offered a choice between a gamble that pays P1000 with a probability…

A: Expected value is the measure that explain the average value. It is calculated by the combined value…

Q: If you toss a fair coin seven times, what is the probability of getting all tails?

A:

Q: What is the probability of flipping a coin once and getting heads if you have gotten 5 tails in a…

A:

Q: 4. The Traffic Violations Department receives 5 violations per hour, find the probability that it…

A:

Q: A fair is tossed three times. What is the probability that you will get at most two heads?

A: GivenA fair coin is tossed three timesSample space is given byS =…

Q: What is the probability of a student chosen at random liking wizards of Waverly place and Suite life…

A: Given: Number of students liking Waverly place and Suite of Zach and Cody only = 313 Number of…

Q: Alice has 8 pennies, 4 nickels, 2 dimes, and 6 quarters in her pocket. If one coin is drawn…

A:

Q: What is the probability of having 3 boys given the oldest is a boy?

A: The theory of probability has its origin in the seventeenth century. The king of France who…

Q: Suppose that we roll two dice, what is the probability of getting a sum of 6 or 8?

A: In rolling two dice, the possible outcomes are…

Q: i have a 20p a 10p and a 2p coin, what is the probability of getting two tails and a head in any…

A:

Q: if you roll a pair of fair dice, what is the probability of getting a sum of 1

A: Roll a pair of fair dice, Sample space = S= (1,1) (1,2) (1,3) (1,4) (1,5)…

Q: What is the probability of choosing a candy that is made with white chocolate and caramel?

A: Assuming the box has 8x chocolates White chocolates will be 4x Milk chocolates will be 4x

Q: 3. A manufacturer says the probability of their product being defective is 19%. If your company buys…

A: From the given information we find the solution.

Q: Suppose Nate loses 42% of all video games. What is the probability he will lose 3 games in a row but…

A: Given: P( Losing a video game ) = 0.42 P( Winning a video game ) = 1-0.42 = 0.58

Q: Suppose that the probability of rain tomorrow is 0.4 What are the odds in favor of rain tomorrow?

A:

Q: In a factory that produces blocks of ready- made concrete, if the percentage of production of…

A: Given data,Sample size n=5Percentage of production of defective blocks is p=0.6Let X be event that…

Q: If the odds in favor of Chris winning the election are 6:5, then what is the probability that a)…

A: Since odd in favour = (number of favourable outcomes)/(number of unfavorable outcomes)

Q: This problem involves students who have taken Calculus in high school. Assume that 35 percent of…

A: Taken calculus in high school: 0.35 Plan to major in science­=0.65 Do not plan to major in…

Q: What is the probability that at least one dice will different from the other two? Leave your answer…

A: It is assumed that three dice are rolled. The total number of outcomes in the sample space be n(S) =…

Q: 2. If a hockey player takes 78 shots and scores 16 goals, what would be the probability of this…

A: Given that If a hockey player takes 78 shots and scores 16 goals. Total shots = 78 Scored goals = 16…

Q: A fair coin is flipped twice. What is the probability of showing heads on both flips?

A: Given: A fair coin is flipped twice. Objective of this question is to find the probability of…

Q: If we roll three six-sixed dice, what's the probability that their sum is even?

A: Further counting arguments can be used to find the number of ways of forming the other sums. The…

Q: If you flip three fair coins, what is the probability that you'll get all three heads?

A: Given that,Three fair coins are tossed.

Q: his problem involves students who have taken Calculus in high school. Assume that 10 percent of…

A: Let define the events A = Students who have taken Calculus in high school A= Students who did not…

Q: What is the probability that between 10:00 and 10:30 the switchboard will receive more than 9 calls…

A:

Q: In a game of Jack n Poy, the player that wins 3 times out of 5 games is declared the winner. suppose…

A: Jack n Poy is a game performed by two players. Here, P(winning one time) = 1/2.

Q: What are the possible outcomes when three coins are tossed simutaneously? What is the probability…

A: Ans -  The possible outcomes when three coins are tossed simultaneously          Sample space S =…

Q: Three men are seeking public office. Candidates A and B are given the same chance of winning, but…

A: We have given that three men are seeking public office. P( A ) = P( B ) And, P( C ) = 3*P( A ) or…

Q: A new county hospital is attempting to determine whether it needs to add a particular specialist to…

A: The given data are: Probability of patient being sick is 5% Total number of patients coming on each…

Q: A debating team of size 4 is to be randomly selected from 3 academic staff and 6 students. The…

A: We have to select a team of size 4 from the 3 academic staffs and 6 students and we have to find the…

Q: Two fair coins are tossed. What is the probability of getting one heads and one tails?

A: Given We konw that the coin has two sides head (H) and tail (T)

Q: What is the probability of a student chosen at random liking both Hannah Montana and suite life of…

A: Given data: The numbers of students who like Waverly place are a=73. The numbers of students who…

Q: At a local​ college, four sections of economics are taught during the day and two sections are…

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: Suppose you flip a fair coin 4 times. What is the probability that they are either all head or all…

A: Coin is flip 4 times  that is totel outcomes will be 2^4 = 16

Q: 2. A pair of dice is rolled thrice. What is the probability of getting doubles in the three rolls?

A:

Q: Out of 320 families with 5 children -each, what percentage would be expected to 11ave (i) 2 boys and…

A: Given ,N=320and 320 families have 5 children each .  P(having a boy)=12P(having a girl)=12

Q: A fair dice is rolled four times.  What is the probability of obtaining a 3,2,3 and 3 in that order?

A: For any event A and the sample space S, the probability can be found as,

Q: the sales manager knows that 10% of his clients do not pay their debts in full. He supposes that he…

A: We have to find out given probabiity that 14%  or more will not be fulfilled in their…