You are given 7 to 1 odds against rolling a sum of 6 with the roll or two fail dlce meaning you win $7 if you succeed and $1 if you fail. Find the expected value (to you) of the game.

Q: A restaurant will select 1 card from a bowl to win a free lunch. No outs 5 cards in the bowl. The…

A: Given: A: Event of random experiment Ac: Odds in favor of  event A PA=Probability of an event Then…

Q: A fun size bag of M&Ms has about 17 candies. You open one of the bags and discover: 3 Blues, 4…

A: From the information, given thatThe total number of candies=17The total number of blue candies =…

Q: You roll a fair six-sided die twice. Find the probability of rolling a 1 the first time and a number…

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Q: At a local fair, a raffle is being held. There were 1,067 tickets were sold for $10 each. There is…

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Q: Casey is going to wear a gray sport coat and is trying to decide what tie he should wear to work in…

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Q: While Kiara is deciding which game to play, Denny and Rayanna play Spin the Wheel. In this game, the…

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Q: You are ordering a hamburger and can get up to 7 toppings, but each topping can only be used once.…

A: 4 toppings can be chosen from 7 by 7C4 Ways 7C4 =

Q: Emerson wins 28% of all chess games. What is the probability he wins two in a row?

A: Assuming the two games are independent, P( He wins two in a row)= P( He wins the first game)*P(He…

Q: A resturant will select 1 card from a bowl to win a free lunch. Jo puts 5 cards in the bowl. the…

A: Odds in favour: The odds in favour of the event is given by the ratio of the probability of the…

Q: Suppose you play a game where you toss three fair coins. If you get three tails, you win $10.…

A: Probability of getting a tail while tossing a coin is 1/2 So, if 3 coins will be tossed then the…

Q: If the probability that the Yankees will win a baseball game is 60%, find the probability that the…

A: The probability that Yankees will win a baseball game is 60%, that is PWinning=0.60.

Q: Todd and Tiff both train pets. Todd trains 30% of pets and Tiff trains 70% of pets. Todd’s pets are…

A: Given that P(Todd trains)=0.30 P(Tiff trains)=0.70 P(female| Todd) =0.55 P(female| Tiff) =0.65

Q: Find the mean and the variance of the outcome for this game

A: The given probability distribution table is, Outcome(X) $-1.00 $0.00 $3.00 $10.00 Probability…

Q: you flip a coin 6 times whats the probability of them all being heads?

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: A bag contains 9 blue marbles, 10 red marbles, 4 white marbles. If one marble is drawn from the bag…

A: Given Information: A bag contains 9 blue marbles, 10 red marbles, 4 white marbles. Total number of…

Q: Scott is at a charity fundraiser and has a chance of receiving a gift. The odds in favor of…

A: Scott has a chance of receiving a gift.The odds in favor of receiving a gift are .

Q: TRUE OR FALSE If the probability of you winning a chess game agains your friend is 40%, it means if…

A: According to the given information, we haveThe probability of winning a chess game against your…

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: You roll two six-sided dice. Find the probability of the event D that the absolute value of the…

A: Solution: From the given information, two six-sided dice should be rolled.

Q: You're playing a video game. Each time you play, you win a prize with probability 0.508. You decide…

A: From the given information we find the probability.

Q: Calvin makes 65% of the penalty kicks he takes. He is practicing penalty kicks with his friend…

A: From the provided information, Sample size (n) = 10 Calvin makes 65% of the penalty kicks he takes…

Q: You have a homework assignment that contains 12 questions. Your instructor will grade a set of 5…

A: Given: Total number of questions, n = 12            5 questions would be graded Part 1: The total…

Q: In the casino a card game takes 1 dollar bets, players have a 46% chance of winning back their bets…

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Q: A pair of dice is rolled. What are the odds of rolling a sum of 4 or a sum of 5? The odds of rolling…

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Q: You are playing a game with your friends. You have to choose a random card out of a standard deck of…

A: We have to find given probability..

Q: You randomly select one card from a​ 52-card deck. Find the probability of selecting the king of…

A: It is known that Number of cards in a deck = 52 Number of king of diamonds = 1 Number of two of…

Q: A gumball machine has 40 red, 30 white and 10 yellow gumballs in it, and you purchase one gumball at…

A: Answer- A gumball machine has 40 red, 30 white and 10 yellow gumballs in it.  Total = 40 + 30 + 10 =…

Q: in a break room there are 3 bags of pretzels 2 bags of doritos and 4 bags of popcorn .find the…

A: Total number of bags = 9 (i.e. 3+2+4) Number of pretzels bags = 3 Number of Doritos  bags= 2 Number…

Q: Caleb rolls two regular six sided dice determine the odds against him rolling an odd or a sum of 4

A: Given that Caleb rolls two regular six sided dice we have to find the odds against him rolling an…

Q: Whitney wants to practice shooting for basketball.  Her mom will give her $20 if she makes 3 free…

A: If each trial has only two possible outcomes, that is, success and failure, the probabilities of…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.