You are offered a gamble on the toss of a coin. If the coin shows tails, you lose $100. If the coin shows heads, you win $150. Would you accept it?

Q: A game involves tossing two coins and receiving 70¢ if they are both heads. What is a fair price to…

A: When we toss two coins the sample space is S={HH,HT,TH,TT} n(S)=4 Let E be the event of getting both…

Q: Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you…

A: As given, if you roll a six-sided die and roll 6 then you will win $11. if you roll 4 or 5 then you…

Q: 2. Miguel and Luis are playing a game. Miguel will roll a number cube and Luis will guess the number…

A: Here AS PER note given I have calculated 2

Q: You are playing a game in which a single die is rolled. If a 2 or a 5 comes up, you win $60;…

A: A single die is rolled. The probability of 2 or 5 = 2/6, that is, the probability of winning. The…

Q: In a game of cards, your opponent offers to give P40 if you draw an ace and P20 if you draw a face…

A: Given, In a game of cards, Opponent offers, p40 if we get ace, P20 if we get faces, To pay P10 if we…

Q: if the probability of student succeeding in the exam for subject A is twice the probability of…

A:

Q: A pair of fair dice is rolled once. Suppose that you lose $10 if the dice sum to 4 and win $15 if…

A:

Q: Monica is trying to design a coin-flipping game for a charity fair. The plan is for contestants to…

A:

Q: I throw a dice and get 1$ if I get a 1, and get 2$ if I get a 2, and get 3$ if I get a 3, etc. What…

A:

Q: I throw a dice and get 1$ if I get a 1, and get 2$ if I get a 2, and get 38 if I get a 3, etc. What…

A: Solution

Q: Howards spins the spinner below and flips a coin. What are the chances he will land on A and flip a…

A: Outcome on spinner and coin are independent of each other

Q: Suppose you play a game where you spin a spinner with areas of the colors on the spinner broken down…

A:

Q: If the odds in favor of winning a bet are 3:33, what is the probability of winning the bet? Write…

A: Given data:   The given odd in favor of winning a bet is O(E)=3:33.   The Depression for the odd in…

Q: If you draw a random card from a standard deck of 52 cards, what are the odds of drawing the jack,…

A: Given Data: Let A represent drawing of jack, queen, king or ace of clubs n(A)=4   n(S)=52

Q: The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards, and the order…

A: The number of combinations of 4 card from the set of 52 cards is, n=C452=52×51×50×494×3×2×1=270725

Q: Find the outcome of the bets in Roulette given:  You bet $10 on number 25; a. The ball lands on 25…

A:

Q: Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you…

A: a. The PDF table is completed as follows: X P(X) -6 0.5 5 0.3333 16 0.1667

Q: Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you…

A: As per the guidelines we are allowed to solve maximum of 3 subparts If you need help with other…

Q: The odds on your bet are 3 to 5. If you bet $20 and win, how much will you again?

A: Bet and Win

Q: PA person bets 1 dollar to b dollars that he can draw two cards from an ordinary deck of cards…

A: The probability that he draw 2 cards from an ordinary deck of cards without replacement and that…

Q: Consider an experiment where you toss three coins: a penny, a dime, and a quarter.   How many…

A: Given information Three coins: a penny, a dime and a quarter 1) There are 2 outcomes on a single…

Q: In a children's game, the die has two faces marked with 1, two faces marked with 2, and two faces…

A: Given:- the die has two faces marked with 1, two faces marked with 2. and two faces marked with 3.

Q: What is the smallest possible value that P[A ∩ B] can be?

A: HERE , Consider two events, A and B, with P[A] = 60%P[B] = 40%.

Q: 5. Danielle flips her coin three times. What are her chances of getting three straight heads or…

A: We know that  Sample space=S S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Q: 2) You flip a coin twice. The first flip lands heads-up and the second flip lands tails-up.

A: If we flip a coin twice, then we get sample space as below: S= {(H,H) , (H,T), (T,H), (T,T)} i.e.…

Q: Suppose that you and a friend are playing cards and decide to make a bet. If you draw two face…

A:

Q: In craps, if a player bets on a 5 coming up on the next roll, and the player is paid at net 8-to-1…

A: Given, player is paid at net 8-to-1 odd The net payoff on a $20 bet is $20 * 8 = $160

Q: Aaron draws one marble out of a bag, places it in his pocket, and then draws another marble. Are the…

A: Two events are considered independent if the outcome of the second case is unaffected by the outcome…

Q: Answer the Following Question Your friend shuffles a standard deck of cards and says to pick one.…

A:

Q: If you are given odds 0f 6 to 7 in favor of winning a bet, what is the proabability of winning the…

A: Odds in favor of winning a bet is 6 to 7

Q: If you roll a pair of dice, what is the total number of ways in which you can obtain the following?…

A: a) The possible outcomes are: { (2,6), (3,5), (4,4) , (5,3) , (6,2) }  In 5 ways we can get an 8.…

Q: Which of the following problems must be determined using a combination? Determine the probability of…

A: We have given that four different problems. Here we need to find out that which are determined by…

Q: You flip a coin and pick a marble. How many outcomes are possible?

A:

Q: hat is the probability of winning the second prize?

A: From provided information, a player picks five numbers from 1 to 48. If 4 of 5 match winning…

Q: In repeated games, players choose their actions...

A: As a rule, we'll answer the first question as the exact one is not specified. Please submit the…

Q: What would the owners expected profit or loss be from this game? Give your answer with a dollar sign…

A: It costs $10 to play this game. The probability distribution table is,   Blue Pink Gray Orange…

Q: When playing Yahtzee, you roll five regular 6-sided dice. How many different outcomes are possible…

A: Hi! Thank you for the question As per the honour code, We’ll answer the first question since the…

Q: In a game the player wins if he rolls a 6 on a number cube. If the number cube is rolled 18 times,…

A: Given data: The given number cube. The probability of success or getting a six is, P6=16 The…

Q: If you flip a coin three times, the possible outcomes are HHH HHT HTH HTT THH THT TTH TTT. What is…

A: From the provided information, A coin is flip three times. Total outcomes = 23 = 8

Q: a pair of dice is rolled once. Suppose that you lose 9$ if the dice sum to 5 and win 10$ if the dice…

A: Solution

Q: Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you…

A: There are six faces in a die. The probability of rolling any number from 1 to 6 is 1/6. a) If you…

Q: Some games are played with tetrahedral dice, which have four sides and show the numbers 1, 2, 3, or…

A: How many outcomes are possible.

Q: Suppose that you and a friend are playing cards and decide to make a bet. If your friend draws three…

A: Explanation : Here it s given that ,  if your friend draws three twos in succession from a standard…

Q: A gray mouse has a 30% chance of stealing cheese from a mousetrap without getting caught, while a…

A: From the given information, P(gray mouse)=0.30 P(white mouse)=0.10 There are 15 gray mice and 17…

Q: The Ontario Lottery Group has recently started allowing betting on the outcomes of games of the…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, we have…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.