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  3. a bias coin has the probability 2/3 of turning up

A bias coin has the probability 2/3 of turning up heads. The coin is thrown 4...

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Question

Basic Math

A bias coin has the probability 2/3 of turning up heads. Thecoin is thrown 4 times.
(a) What is the probability that the total number of heads shown is3?
(b) Suppose that we know that outcome of the first throw is a head.Find the probability
that the total number of heads shown is 3.
(c) If we know that the total number of heads shown is 3, find theprobability that the outcome
of the first throw was heads.

Answer & Explanation Solved by verified expert
4.2 Ratings (861 Votes)
The sample space for tossing a coin 4 times contains 24 16 outcomes If we denote H for heads and T for tails then the sample space is S HHHH HHHT HHTT HTTT HTHH HTTH HTHT HHTH THHH THHT THTT TTHT TTTH    See Answer
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