How to calculate the probability problem?

Probability roulette?

• 7. Roulette wheels in Monte Carlo have 38 slots: 18 are labeled with even numbers, 18 with odd numbers, 1 is labeled 0, and 1 is labelled 00. The slots are identical in size and shape. (a) (2 points) What is the probability one of these wheels lands on an even number on one spin (leave your answer as a fraction in lowest terms)? (b) (2 points) On August 18, 1913, a roulette wheel in one Monte Carlo casino came up even on 26 consecutive spins (it was examined and nothing out of the ordinary was found). What is the probability one of these roulette wheels would experience a run of 26 consecutive spins of even numbers? (You will have to use at least 12 decimal places to write this out.) (c) (2 points) The probability from ‘b’ is the probability any particular randomly selected roulette wheel would have such a streak. Consider, however, that there are roughly 500 such roulette wheels in Monte Carlo, each going through several hundred (say 1000 to be conservative) spins each day, and this has been the case for the last 100 years. Find the total number of spins this gives, and then calculate the number of times you would expect there to be a streak of 26 consecutive spins landing on an even number. (The point of this problem: outcomes that are extremely unlikely to occur on any single observation may occur several times over a long period of time.)

• Answer:

  HI, I suggest you to look at this site, there are a lot of artigles talking about roulette. http://www.roulette2000.com/ I hope u enjoy it.