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A box contains 2 identical pistols. Pistol A contains 7 live bullets and 3 blank bullets...

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Basic Math

A box contains 2 identical pistols. Pistol A contains 7 livebullets and 3 blank bullets while pistol B contains 3 live bulletsand 7 blanks. Following a particularly annoying question in hisStat 230 class, evil Professor Moriarty chooses a pistol at randomand then fires once directly at Holmes.

a. Find the probability that Holmes survives this shot (i.e. ablank bullet is fired).

b. If Holmes survives, he takes the other pistol and firesdirectly at Moriarty. What is the probability that Holmes survivesthe first shot and Moriarty survives this second shot? (i.e. a bothbullets fired are blanks.).

c. If this ill-considered game continues until one of the two isshot with a live bullet, what is the probability that the personwho survives is Holmes?

Answer & Explanation Solved by verified expert
3.6 Ratings (465 Votes)
Here there are 2 identical pistols Pistol A contains 7 live bullets and 3 blank bullets Pistol B contains 3 live bullets and 7 blanks a PSelecting any one of the pistol 12 PHolmes survives the shot PMoriarity Choose pistol 1 PFired a blank shot PMoriarity chooses pistol 2 PFired a blank shot 12 07 12 03 05 b Here there are two conditions i Moriarty fired first pistol and fired blank and Holmes fired second pistol and    See Answer
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