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Suppose we keep rolling a tetrahedral die (with faces marked as 1, 2, 3, 4) till...

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Statistics

Suppose we keep rolling a tetrahedral die (with faces marked as1, 2, 3, 4) till an even number appears for the first time.

(a) Give a precise description of the sample space.

(b) Give the probability of each elementary outcome (eachelement of the sample space).

(c) Find the probability of an even number appearing for thefirst time at the nth roll.

(d) Find the probability of an even number appearing for thefirst time no later than the nth roll.

Answer & Explanation Solved by verified expert
4.5 Ratings (817 Votes)
aDie has four faces marked with 1 2 3 and 4 respectively Sothe possible sample space isS 1 2 3 4bSince each of the four outcomes are equally likely so theprobability of    See Answer
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