A street performer approaches you to make a bet. He shows you three cards: one that...

A street performer approaches you to make a bet. He shows you three cards: one that is blue on both sides, one that is orange on both sides, and one that is blue on one side and orange on the other. He puts the cards in the bag, pulls out one, and puts it on the table. Both of you can see that the card is blue on top, but haven't seen the other side. The street performer bets you $50 that the other side of the card is also blue. Should you take the bet and WHY? Now that the previous two questions have gotten you thinking about probability, how does probability apply to your profession?

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orchestra answered 1 year ago

street performer offers you a chance to play his game for the low price of $10....

street performer offers you a chance to play his game for the low price of $10. His game involves you pushing two different buttons. One of the buttons, when pushed, has a 10% chance of winning you $40; and the oth er button, when pushed, has a 20% chance of winning you $25. You are allowed two button presses( e ither pushing the same button twice or pushing each button once) in a single game. Is it worth playing?

In the carnival game chuck-a-luck, three dice are rolled. You make a bet on a particular...

In the carnival game chuck-a-luck, three dice are rolled. You make a bet on a particular number (1, 2, 3, 4, 5, 6) showing up. The payout is 1 to 1 if that number shows on (exactly) one die, 2 to 1 if it shows on two dice, and 3 to 1 if it shows up on all three. (You lose your initial stake if your number does not show on any of the dice.) If you make a $1...

Henry bet his friend Rupert that he (Henry) could make himslef faint by hyperventilating and grunting....

Henry bet his friend Rupert that he (Henry) could make himslef faint by hyperventilating and grunting. Who will win the bet? Explain the physiological changes associated with hyperventilation and grunting. You will need to include cardiovascular changes in you answer? hint: grunting reduces venous return

Chevalier de Méré won money when he bet unsuspecting patrons that in 4 rolls of 1 die, he could get at least one 6; but he lost money when he bet that in 24 rolls of 2 dice, he ..

Chevalier de Méré won money when he bet unsuspecting patrons that in 4 rolls of 1 die, he could get at least one 6; but he lost money when he bet that in 24 rolls of 2 dice, he could get at least a double 6. Using the probability rules, find the probability of each event and explain why he won the majority of the time on the first game but lost the majority of the time when playing the...

You bet your friend you can make 3 free throws. If you do it you get...

You bet your friend you can make 3 free throws. If you do it you get 10 dollars, if you don’t you lose 10 dollars. The probability that you make any given free throw is 60%. What is the expected value of this game? What is the probability that you make 6 out of 10 free throws?

Suppose that you and a friend are playing cards and you decide to make a friendly...

Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are hearts, your friend will pay you $⁢16. Otherwise, you have to pay your friend $⁢3. Step 2 of 2 : If this same bet is made 762 times, how much would you expect to win or lose? Round your answer to two decimal places....

Three fair dice are thrown. If you know that one and only one shows 4, what...

Three fair dice are thrown. If you know that one and only one shows 4, what is the probability that the sum is 10.

Three fair dice are thrown. If you know that one and only one shows 4, what...

Three fair dice are thrown. If you know that one and only one shows 4, what is the probability that the sum is 10.

Cards: Suppose you draw one card from a single deck of cards. (a) What is the...

Cards: Suppose you draw one card from a single deck of cards. (a) What is the probability that you draw an queen? Round your answer to 3 significant digits*. (b) What is the probability that you draw a heart? Round your answer to 3 significant digits*. (c) What is the probability that you draw the queen of hearts? Round your answer to 3 significant digits*. ............................................... *Significant Digits: Here are some probabilities expressed to 3 significant digits. You start counting...

We have three cards. One is red on both sides; one is blue on both sides;...

We have three cards. One is red on both sides; one is blue on both sides; one is red on one side and blue on the other side. The cards are shuffled and their orientation randomized. One card is drawn and placed on the table; the side facing up is blue. (a) Compute the information content of this observation (that the side facing up is blue.) (b) Find the prior and posterior probability distributions of the color of the bottom...

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A street performer approaches you to make a bet. He shows you three cards: one that...

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street performer offers you a chance to play his game for the low price of $10....

In the carnival game chuck-a-luck, three dice are rolled. You make a bet on a particular...

Henry bet his friend Rupert that he (Henry) could make himslef faint by hyperventilating and grunting....

Chevalier de Méré won money when he bet unsuspecting patrons that in 4 rolls of 1 die, he could get at least one 6; but he lost money when he bet that in 24 rolls of 2 dice, he ..

You bet your friend you can make 3 free throws. If you do it you get...

Suppose that you and a friend are playing cards and you decide to make a friendly...

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