Zhi plays a game in which she can purchase a ticket and it has several chances,...
Zhi plays a game in which she can purchase a ticket and it has several chances, or "catches" to win money. The table below shows the probability of winning at each stage, and how much money the ticket can win at each catch. Every time Zhi plays the game, her ticket is played through each catch, which means we can win money at each stage. Given the probabilities and payout values in this table, what is the expected value of Zhi's ticket? Catch 0 40% $1 Catch 1 45% $5 Catch 3 12% $10 Catch 3% $25
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Zhi plays a game in which she can purchase a ticket and it has
several chances,...
The Law of Or The chances of one event OR another event occurring = the sum...
The Law of Or The chances of one event OR another event occurring = the sum of the chances of each event separately. Let's call the first event E1, and the second event E2. In this case, let's make E1 the probabilty of winning the toaster, and E2 the probability of winning the washer-dryer. We can now abbreviate these P(E1) and P(E2) for the probability of event 1, and the probability of event 2. If the game show runs another...
4. At a local fundraising, you can purchase a ticket for $5, and select 3 numbers...
4. At a local fundraising, you can purchase a ticket for $5, and select 3 numbers in any order from 1 to 20. The fundraisers also select 3 numbers. If you have all 3 winning numbers, then you win $50. If you have exactly 2 winning numbers, then you win $10. And finally, if you have exactly 1 winning number, then you win $5. (a) (6 points) Complete the table below. The Number of The Amount of The Probablity of...
Debra is buying prizes for a game at her school's fundraiser. The game has three levels...
Debra is buying prizes for a game at her school's fundraiser. The game has three levels of prizes, and she has already bought the second and third prizes. She wants the first prize to be nice enough to attract people to the game. The game's manufacturer has supplied her with the probabilities of winning first, second, and third prizes. Tickets cost $3 each, and she wants the school to profit an average of $1 per ticket. How much should she...
#3. Suppose an individual plays a gambling game where it is possible to lose $1.00, break...
#3. Suppose an individual plays a gambling game where it is possible to lose $1.00, break even, win $3.00, or win S10.00 each time she plays. The following table provides the probability distribution for each outcome: Outcome-$1.00 S0.00 S3.00 $10.00 Probability 0.30 0.40 0.20 0.10 a) Find the mean and the variance of the outcome for this game. b) Suppose the casino decides to adjust the payout levels by subtracting S1.00 from each prize Find the mean and the variance...
Consider a chess tournament in which you play one game with each of 3 opponents, but...
Consider a chess tournament in which you play one game with each of 3 opponents, but you get to choose the order in which you play your opponents, knowing the probability of a win against each. You win the tournament if you win two games in a row, and you want to maximize the probability of winning. Assume that it is optimal to play the weakest opponent second, and that the order of playing the other two opponents doesn't matter....
Maxine plays a game in which the number of points she receives is given by the...
Maxine plays a game in which the number of points she receives is given by the discrete random variable X whose values are shown in the table below. The probability of each value of X is given by (0.4 – 0.1X) e.g. P(1) = 0.4 – 0.1(1) = 0.3 X 0 1 2 3 P 0.3 X2 Copy and complete the Table above. What is the range of the points? What is mode of the points? Find E[X], E[X2] and...
her Roulette can certainly increase our chances of winning if we been colorido allows us to...
her Roulette can certainly increase our chances of winning if we been colorido allows us to bet on either red or black and if the number is that color wewn This ney in most casinos. This means that for each dollar we het we will win ito ning color. So, if we bet SS and win, we would keep us and win 5 more. If we whatever amount of money we bet, just as before be probability that we will...
Question 6 Write the correct values in the boxes. For this question, working is not required and will not be marked. Two of many kinds of bets you can make on a horse race are Win' and 'P...
Question 6 Write the correct values in the boxes. For this question, working is not required and will not be marked. Two of many kinds of bets you can make on a horse race are Win' and 'Place'. In each of these you nominate a horse, say 'Neddy', pay some money (your 'stake) and maybe get some money back (your 'payout'). The payout, if paid, is stakexodds, where 'odds is a number greater than 1 specified by the betting agency....
Question Write the correct values in the boxes. For this question, working is not required and will not be marked Two of many kinds of bets you can make on a horse race are ‘win, and Place. In each o...
Question Write the correct values in the boxes. For this question, working is not required and will not be marked Two of many kinds of bets you can make on a horse race are ‘win, and Place. In each of these you noininate往horse, say 'Neddy', pay some money (your ‘stake') and maybe get some money back (your 'payout'). The payout, if paid, is stakexodds, where 'odds is a number greater than 1 specified by the betting agency. The odds number...
9. A gambler plays roulette conservatively: she bets on black every time, which gives her probabil-...
9. A gambler plays roulette conservatively: she bets on black every time, which gives her probabil- ity 18/38 of winning on each spin. Define a random sequence Xn = the number of wins she has after the nth spin for n = 1, 2, 3, .... (a) Is Xn a discrete-space or continuous-space sequence? (b) Sketch two possible sample functions (sequences) for n = 1, ..., 10. (c) What is the probability distribution of Xn for fixed n?
4. At a local fundraising, you can purchase a ticket for $5, and select 3 numbers in any order from 1 to 20. The fundraisers also select 3 numbers. If you have all 3 winning numbers, then you win $50. If you have exactly 2 winning numbers, then you win $10. And finally, if you have exactly 1 winning number, then you win $5. (a) (6 points) Complete the table below. The Number of The Amount of The Probablity of...
#3. Suppose an individual plays a gambling game where it is possible to lose $1.00, break even, win $3.00, or win S10.00 each time she plays. The following table provides the probability distribution for each outcome: Outcome-$1.00 S0.00 S3.00 $10.00 Probability 0.30 0.40 0.20 0.10 a) Find the mean and the variance of the outcome for this game. b) Suppose the casino decides to adjust the payout levels by subtracting S1.00 from each prize Find the mean and the variance...
her Roulette can certainly increase our chances of winning if we been colorido allows us to bet on either red or black and if the number is that color wewn This ney in most casinos. This means that for each dollar we het we will win ito ning color. So, if we bet SS and win, we would keep us and win 5 more. If we whatever amount of money we bet, just as before be probability that we will...
Question 6 Write the correct values in the boxes. For this question, working is not required and will not be marked. Two of many kinds of bets you can make on a horse race are Win' and 'Place'. In each of these you nominate a horse, say 'Neddy', pay some money (your 'stake) and maybe get some money back (your 'payout'). The payout, if paid, is stakexodds, where 'odds is a number greater than 1 specified by the betting agency....
Question Write the correct values in the boxes. For this question, working is not required and will not be marked Two of many kinds of bets you can make on a horse race are ‘win, and Place. In each of these you noininate往horse, say 'Neddy', pay some money (your ‘stake') and maybe get some money back (your 'payout'). The payout, if paid, is stakexodds, where 'odds is a number greater than 1 specified by the betting agency. The odds number...
9. A gambler plays roulette conservatively: she bets on black every time, which gives her probabil- ity 18/38 of winning on each spin. Define a random sequence Xn = the number of wins she has after the nth spin for n = 1, 2, 3, .... (a) Is Xn a discrete-space or continuous-space sequence? (b) Sketch two possible sample functions (sequences) for n = 1, ..., 10. (c) What is the probability distribution of Xn for fixed n?
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