please help intro to statistics In the game Roulette a ball

please help. intro to statistics

In the game Roulette, a ball spins on a circular wheel that is divided into 38 arcs of equal lenght, 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 probablilities: P (C) = 2/38 P(A D)= 27/38 P(A B D) =

Solution

a)

There are 38 numbers, 2 are green. So,

P(C) = 2/38 = 1/19 [ANSWER]

******************

b)

There are 27 such numbers (low or even), so

P(A U D) = P(low or even) = 27/38 [ANSWER]

******************

c)

There are 4 such numbers, 12,14,16,18.

P(even and red and low) = 4/38 = 2/19 [ANSWER]