Pl. In casinos, the roulette wheels have the integers between 1 and 36, together
ID: 3068664 • Letter: P
Question
Pl. In casinos, the roulette wheels have the integers between 1 and 36, together with 0 and 00. Half of the non-zero numbers are red, the other half are black, and 0 and 00 are green. A common bet in this game is to bet $1 on red. If a red number comes up, the player gets his S1 back, and also gets another $1. Ifa black or green number comes up, he loses $1. (a) Suppose someone starts with $40, and continues to bet on red until either he reaches $50 or $0. Find the probability that he reaches $50 (b) How much money would he have to start with, in order to have a 95% chance of winning $10 dollars before going broke?Explanation / Answer
probability of your number hitting exactly x times is combin(1000,x)*(1/38)x*(37/38)1000-x. The following table shows the probability of all number of hits from 0 to 6 and the total.
Wins in 1000 Roulette Bets
So the answer is 0.00000177564555, or 1 in 563175. I hope this didn
Number Probability 0 0.00000000000262 1 0.00000000007078 2 0.00000000095556 3 0.00000000859146 4 0.00000005787627 5 0.00000031159330 6 0.00000139655555 Total 0.00000177564555