A Small Steel Roulette Ball Rolls Around 10,0/10 5551 reviews
A ball rolls horizontally off the edge of a tabletop that is 1.50 m high. It strikes the floor at a point 1.55 m horizontally away from the table edge. (Neglect air resistance.) (a) How long was the ball in the air? (b) What was its speed at the instant it left the table? This question really stumps me I need help! Roulette is a wheel with numbers ranging from 0 to 36 and a steel ball. In a traditional casino, players sit around the gaming table and bet, the croupier activates the wheel, stops the bets and the ball lands. It is when the ball has landed that the winner appears.
Algebra -> Probability-and-statistics-> SOLUTION: A roulette wheel has 38 slots numbered 00, 0, 1, 2, ..., 35, 36. Eighteen of the slots numbered 1 through 36 are red and eighteen are black. The 00 and 0 slots are green. The ball Log On
Question 957401: A roulette wheel has 38 slots numbered 00, 0, 1, 2, ..., 35, 36. Eighteen of the slots numbered 1 through 36 are red and eighteen are black. The 00 and 0 slots are green. The ball is spun around the wheel until it falls into one of the slots. When a gambler bets $1 on a single number and wins, he gets $36 back (i.e. his net winnings are $35). Find the expected value of this game (in dollars).
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A roulette wheel has 38 slots numbered 00, 0, 1, 2, ..., 35, 36. Eighteen of the slots numbered 1 through 36 are red and eighteen are black. The 00 and 0 slots are green. The ball is spun around the wheel until it falls into one of the slots. When a gambler bets $1 on a single number and wins, he gets $36 back (i.e. his net winnings are $35). Find the expected value of this game (in dollars).
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Random 'winnings'............. 35......-1
Corresponding probabilities:: 1/38...37/38
Expected 'winnings' = [35-37]/38 = -2/38 = -1/19 = -$0.05 dollars
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Cheers,
Stan H.
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Algebra -> Probability-and-statistics-> SOLUTION: 2.2 Roulette Wheel. The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, w Log On
A Small Steel Roulette Ball Rolls Around The Inside
Question 1113469: 2.2 Roulette Wheel. The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball.
(a) You watch a roulette wheel spin 3 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin?
(b) You watch a roulette wheel spin 300 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin?
(c) Are you equally confident of your answers to the parts (a) and (b)? Why or why not?
Answer by greenestamps(7945) (Show Source): You can put this solution on YOUR website!
The wording of the problem indicates that it is a fair roulette wheel, so the probability of landing on a red spot on each spin is 16/38 = 8/19. That probability is the same, regardless of the outcomes on previous spins.
So the answers are
(a) 8/19
(b) 8/19
(c) Yes, as explained above
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A Small Steel Roulette Ball Rolls Around The Sun