Question

T s add to number which is at least 10 5. The chance of getting 00 on a roulette wheel is 1 in 38. The chance of getting a black on a roulette wheel is 18/38 (the probability of getting red is also 18/38). Find the probability that in three rolls of a roulette wheel, one gets the following things. a) We get three 00 in a row b) We get three black in a row c) We get a 00 then two blacks in a row d) We get a black, then red, then black

Answer 1

A : Event of getting 00 on a roulette R: Event of getting a red on a roulette B : Event of getting black on a roulette P(A) 1/38 P( R) 18/38 P(B) 18/38 a) To find P(getting three 00 in a row) - P(A) X P(A) X P(A) 38 38 38 = 0.00001822 P(getting three 00 in a row) = 0.00001822 b) To find P(getting 3 black in a row) = P(B) × P(B) × P(B) 18 18 18 38 38 38 0.1063 P(getting three black in a row) 0.1063 c) To find P(getting a 00 then two blacks in a row) - P(A) X P(B) X P(B) 1 18 18 38 38 38 = 0.0059 P(getting a 00 then two blacks in a row) 0.0059 d) To find P(getting a black then red then black) 18 18 18 38 38 38 = 0.1063 P(getting a black then red then black) 0.106:3