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q1 pleaase orovide step by step exp how to count it and what is answet A...

q1

pleaase orovide step by step exp how to count it and what is answet

A fair die is rolled 12 times. Consider the following three possible outcomes:

(i) 2 2 2 2 2 2 2 2 2 2 2 2

(ii) 1 1 2 2 3 3 4 4 5 5 6 6

(iii) 4 6 2 1 3 5 2 6 4 3 1 5

Which of the following is true?

a  It is absolutely impossible to get sequence (i).

  b (ii) is more likely than (i).

c   (iii) is more likely than (i) or (ii).

d  The three outcomes are equally likely.

e   Both (B) and (C) are true.

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Answer #1

Since each roll of the die is independent of other, the three sequences will have an equal probability of occurrence.

Hence,

Option D is correct.

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