500 balls numbered from 1 to 500 are placed in a large container. A ball is picked...

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500 balls numbered from 1 to 500 are placed in a large container. A ball is picked at random.

a. Are the numbers an example of equally likely outcomes? Justify your answer.

b. Calculate the probability that the ball:

(i) Has the number 1 on it

(ii) Has one of the numbers 1 to 50 on it 

(iii) Has one of the numbers 1 to 500 on it

(iv) Has the number 501 on it.

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