A bag contains one counter, known to be either white or black. A white counter is put in, the bag is shaken, and a counter is drawn out, which proves to be white. What is now the chance of drawing a white counter? [Notice that the state of the bag, after the operations, is exactly identical to its state before.]
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- You are one space short of winning a baord game and must roll a 1 on a die to claim victory. You want to know how many rolls it might take. How would you simulate rolling the die until you get a 1?Suppose a person is thinking about entering a MarioKart competition at theirlocal videogame store. The competition costs 20 dollars to enter. The competition consists of 10 matches. The person knows that their chance of winning each match is 65% and that each match is independent of the others. The payout for the competition is: WIN ALL 10 Matches: 500 Dollar Prize WIN 9 Matches: 250 Dollar PrizeWIN 8 Matches: 50 Dollar Prize OTHERWISE: Nothing 1) Suppose that this person enters the competition 5 times.What is the probability they break even?(Hint: To break even they would need to win the $50 prize twice and lose the other three times. Use a modified binomial to calculate this probability.)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.
- Assume the chances of failure of each component is given in Figure. What is the probability that the system would not work? .I was wondering if you could help me understand how to find the probability of failure of the entire deck system assuming that the failures of groups A, B and C are independent of each other and that the failures of sub-groups B1 and B2 are also independent of each otherA vending machine contains 1000 lollipops. Some of the lollipops are red, and the others are blue. You don’t know how many there are of each color. However, you do know that these two alternatives are equally likely. There are 900 blue lollipops and 100 red ones. There are 500 blue lollipops and 500 red ones. When you put a coin into the vending machine, it gives you a lollipop, chosen at random. Suppose that it gives you a blue lollipop. What is the probability that there are 900 blue lollipops and 100 red ones? Show how you got the answer.
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