Consider the following game: A nickel is taken from a jar. Player A tosses the nickel. Then Player B tosses the same nickel. If Player B’s toss matches Player A’s toss then B wins the nickel. If the tosses are different, then A wins the nickel. Who is more likely to win this game, and why? Think about this problem realistically: you don’t know anything about the coin except that it appears

Consider the following game: A nickel is taken from a jar. Player A tosses the nickel. Then Player B tosses the same nickel. If Player B’s toss matches Player A’s toss then B wins the nickel. If the tosses are different, then A wins the nickel. Who is more likely to win this game, and why? Think about this problem realistically: you don’t know anything about the coin except that it appears

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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2. Janelle plays a game in which she chooses a card at random from a standard deck of 52 cards. If the card selected is a face card, she wins $2; if it is an ace, she wins $5; if it is an even numbered card, she wins $1; but if it is an odd numbered card, she loses $3. Find her expected gain for this game.
The Dice game of “Pig” can be played with the following rules. Roll two six-sided dice. Add the face values together. Choose whether to roll the dice again or pass the dice to your opponent. If you pass, then you get to bank any points earned on your turn. Those points become permanent. If you roll again, then add your result to your previous score, but you run the risk of losing all points earned since your opponent had rolled. Continue to roll as much as you want. However, once a “1” comes up on either die, your score is reduced to 0, leaving you only with points that you have previously "banked." Furthermore, you must pass the dice to your opponent. The first person to 100 points is the winner. When a player rolls two dice, the possible outcomes are as follows: Die #2 Roll Roll a 1 Roll a 2 Roll a 3 Roll a 4 Roll a 5 Roll a 6 Die #1 Roll Roll a 1 0 0 0 0 0 0 Roll a 2 0 4 5 6 7 8 Roll a 3 0 5 6 7 8 9 Roll a 4 0 6 7 8 9 10 Roll a 5 0 7 8 9 10 11 Roll a 6 0 8 9 10…
Please can I have help with Part D
One option in a roulette game is to bet $20 on red. (There are 18 red compartments, 18 black compartments, and two compartments that are neither red nor black.) If the ball lands on red, you get to keep the $20 you paid to play the game and you are awarded $20. If the ball lands elsewhere, you are awarded nothing and the $20 that you bet is collected. Find the expected payback for this roulette game if you bet $20 on red. The expected payback is $ (Round to the nearest cent as needed.)
In craps which of the following scenarios is least likely? (Remember, for each roll you're rolling two dice, so rolling a 7" means any combination of dice that adds to 7.) A. Roll an 8 on the first roll, and an 8 on the second roll to win the game. B. Roll a 4 on the first roll, and a 7 on the second roll to lose the game. C. Roll a 7 on the first roll to win the game. D. Roll a 6 on the first roll, and a 6 on the second roll to win the game. O E. Roll a 2, 3, or 12 on the first roll to lose the game.
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Previously, De Anza's statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 daytime statistics students. Find the probability that an individual had between $0.80 and $1.00. Graph the situation, and shade in the area to be determined.
H2
Y Ou are piaying a game involving a fair 6-sided die and a fair coin. First the die is rolled. If the number on the die is evenly divisible by 3 (i.e., either 3 or 6), then the coin is flipped twice, but if the number on the die is not evenly divisible by 3 (i.e., either 1, 2, 4 or 5), then the coin is flipped only once. You win $1 every time head appears on the coin and you win nothing every time a tail appears. а.) b.) did win some money. On one play of the game, determine the probability that you win some money. Determine the probability that the roll of the die was a 3 or a 6, given that you
1. Consider a game played by rolling a set of three 3-sided dice one time and adding the values from the dice together to form a sum. The game costs $7 to play once. You don't get any prize for rolling a sum of 5 or 7, you get $12 for a sum of 4 or 8, and you get $37 for a sum of 3 or 9. If the game is "fair," what is the prize for rolling a 6? (Hint: form a probability distribution to help you find the missing value and recall what "expected value" means in the context of a probability distribution.)
5. Divide and conquer. You're again facing your friend, Brenda, in a "candy-off” game involving a pile of 100 caramels and the winner's prize: one peppermint patty. (Like before, you still LOVE peppermint patties!). On their turn, each player can remove a
4. Suppose you are playing a card game, and you have 3:1 odds of winning (there are no ties; you only win or lose). Your friend Alicia-your sole opponent-looks at her hand and sighs. You think that there is a 60% chance she sighs given you will win, and there is a 50% chance she sighs given that you will lose. Using our updating rule and the information given, what are the odds that you will win?