b. Find the expected number of children.c. Find the expected number of boys they'll have.14. Carnival A carnival game offers a $100 cash prizefor anyone who can break a balloon by throwing a dart atit. It costs $5 to play, and you're willing to spend up to$20 trying to win. You estimate that you have about a10% chance of hitting the balloon on any throw.a. Create a probability model for this carnival game.b. Find the expected number of darts you'll throw.c. Find your expected winnings.13(oNext Content

Prize = $100 A dart cost = $5 Trying to win (spend)=$20 10%(0.10) chance of hitting the balloon on…

Answered: 14. Carnival A carnival game offers a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A game has an expected value to you of $400. It costs $400 to play, but if you win you receive $100,000 (including your $400 bet), for a net gain of $99,600. What is the probability of winning?
You have entered an axe-throwing competition. To enter the competition, you must pay a flat fee of $20. Each contestant is allotted eight throws. You left your glasses at home and thus are facing greater odds than would normally be expected from a talented athlete such as yourself. Hitting the target in the center wins you $5. You have a 1/8 probability of hitting the center Hitting the target in the second ring wins you $3. you have a 2/8 probability of hitting the second ring Hitting the target in the third ring wins you $1. You have a 4/8 probability of hitting the third ring Missing the target wins you $0. you have a 1/8 probability of missing the target. Each throw is considered an event, so the following equation tells us the expected outcome per throw, which can be multiplied by 8 for the total expected outcome of the game. E=-2.5(8/8)+5(1/8)+3(2/8)+1(4/8)+0(1/8) E=-2.5+(5/8)+(3/4)+(1/2)+0 E=(-5/8) E=-0.625 8E=-5 2. The expected value of the game is -$5 3. This is not…
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Activity #4: PROBABILITY Read and analyze the problems, show your solution, and box the answer. 1. What would be the probability of a. picking a black card at random from a standard deck of 52 cards? b. picking a face card (i.e. a king, queen, or jack)? c. not picking a face card? 2. What is the probability of rolling, on a fair dice: a. a 3? b. an even number? c. zero? d. a number greater than 4? e. a number lying between 0 and 72 f. a multiple of 3 given that an even number was drawn? 3. A standard deck of playing cards is well shuffled and from it, you are given two cards. You can have 0, 1, or 2 aces: three possibilities altogether. So, the probability that you have two aces is equal to 1/3. What is flawed about this argument? 4. You shuffle a deck of playing card, and then start turning the cards one at a time. The first one is black. The second one is also a black card. So is the third, and this happens up to the 10th card. You start thinking, "the next one will likely be red!"…
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In a game, you roll a die. If you get a 1 or a 5, you would win $5. If you roll a 4 you win $15 and if you roll a 2, 3, or 6 you lose $10. What is the expected value of one roll of the die? Type a response

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