A box contains a normal coin and a two headed coin. A coin is selected at random and tossed. If heads appear, the other coin is tested, if tails appear, the same coin is tossed. (a) Find the probability that heads appear on the second toss. (b) If heads appeared on the second toss, find the probability that it also appeared on the first toss.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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6 A box contains a normal coin and a two headed coin. A coin is selected at
random and tossed. If heads appear, the other coin is tested, if tails appear,
the same coin is tossed.
(a) Find the probability that heads appear on the second toss.
(b) If heads appeared on the second toss, find the probability that it also
appeared on the first toss.
Transcribed Image Text:6 A box contains a normal coin and a two headed coin. A coin is selected at random and tossed. If heads appear, the other coin is tested, if tails appear, the same coin is tossed. (a) Find the probability that heads appear on the second toss. (b) If heads appeared on the second toss, find the probability that it also appeared on the first toss.
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