Identity the sample space of the probability experiment and determine the number

Question

Identity the sample space of the probability experiment and determine the number of outcomes in the sample space. Playing the game of roulette, where the wheel consists slots numbered 00, 0, 1, 2, ...., 42 To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. Identity the sample space A. The sample space is {1, 2, ...42} B. The sample space is {00, 0} C. The sample space is {00, 0, 1, 2, ...42} D. The sample space is {00} How many outcomes are in the sample space?

Explanation / Answer

As we can see the sample space is 00, 0 ... 42

so the outcome can be that the ball occupies any position out ot these 00,0,1 .. 42 positions

so we have 1-42 as 42 positions

and 2 positions for 00 and 0 , so in total 42+2 = 44 positions

Hence 44 outcomes are possible in the sample space

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