An Experiment Consists of Randomly Selecting One of Three Coins

question 203

Multiple Choice

An experiment consists of randomly selecting one of three coins, tossing it, and observing the outcome - heads or tails. The first coin is a two-headed coin, the second is a biased coin such that P(H) = , and the third is a fair coin. If the coin selected shows heads, what is the probability that this coin is the fair coin?

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Definitions:

Loss of Income

An inability to earn income due to an unforeseen event, such as an injury, illness, or job loss.

Libel Per Se

Defamatory statements that are blatantly damaging to an individual's reputation without the need for further explanation or proof of harm.

Editorial

An article or short piece in a publication expressing the opinion of its editor or publisher.

Punitive Damages

Monetary compensation awarded to a plaintiff that goes beyond what is necessary to compensate for losses, intended to punish the defendant for particularly egregious behavior.