You will note the wheel has 38 slots. There are two green slots (labeled 0, 00) and 36 slots which alternate red/black and are numbered 01-36. A player participates by tossing a small ball around the wheel as the wheel spins, and the ball lands in one of the 38 slots. The goal is for the ball to land in a slot that the player predicted it would, and bet money on happening. Define the following events: E = The ball lands in an even numbered slot M = The ball lands in a slot that is numbered a multiple of three (3, 6, 9, 12, etc ...) Use the given information to calculate the probability of event M. Round your answer to four decimal places.

Question

Mathematics

Elvis Maddox

31 March, 15:17

You will note the wheel has 38 slots. There are two green slots (labeled 0, 00) and 36 slots which alternate red/black and are numbered 01-36. A player participates by tossing a small ball around the wheel as the wheel spins, and the ball lands in one of the 38 slots. The goal is for the ball to land in a slot that the player predicted it would, and bet money on happening. Define the following events: E = The ball lands in an even numbered slot M = The ball lands in a slot that is numbered a multiple of three (3, 6, 9, 12, etc ...) Use the given information to calculate the probability of event M. Round your answer to four decimal places.

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Answers (1)

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Princess Bond · Answer 1

P (M) = 0.3158

Step-by-step explanation:

Data given in the question:

Total Slots = 38

Green Slots = 2 labelled (0, 00)

Red Slots = 18

Black Slots = 18

E = Ball lands on an even numbered slot

M = Ball lands in a slot that is numbered a multiple of 3

We are required to find the probability of event M. For that, we need to identify how many multiples of 3 are present on the wheel.

Multiples of 3 between 1-36 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36

There are a total of 12 slots numbered with multiples of 3.

P (M) = No. of slots numbered a multiple of 3 / Total no. of slots

= 12/38

P (M) = 0.3158 (rounded to four decimal places).