In the game Roulette, a ball spins on a circular wheel that is divided into 38 a

Question

In the game Roulette, a ball spins on a circular wheel that is divided into 38 arcs of equal length, numbered 00, 0, 1, 2, ..., 35, 36. The number on the arc on which the ball stops is the outcome of one play of the game. The numbers are also colored as follows: 1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36 are red, 2, 4, 6, 8, 10, 11, 13, 15, 17, 20, 22, 24, 26, 28, 29, 31, 33, 35 are black, 0,00 are green Define the following events: A: {|Outcome is an even number (0 and 00 are considered neither odd nor even)}| B: {|Outcome is a red number}| C: {| Outcome is a green number}| D: {|Outcome is a low number (1-18)}| Find the following probabilities: (a) P(C) = (b) P(A union B) = (c) P(A intersection B intersection C) =

Explanation / Answer

a) P(C) =2/38=1/19 (As 2 slot out of 38 are green)

b) P(AUB)=36/38 =18/19

c)P(AnBnC)=0/38=0 (as there are no common values )

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