CONDITIONING AND EVIDENCE A hat contains 100 coins, where 99 are fair but one is double-headed (always landing Heads). A coin is chosen uniformly at random. The chosen coin is ?ipped 7 times, and it...

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CONDITIONING AND EVIDENCE
A hat contains 100 coins, where 99 are fair but one is double-headed (always landing Heads). A coin is chosen uniformly at random. The chosen coin is ?ipped 7 times, and it lands Heads all 7 times. Given this information, what is the probability that the chosen coin is double-headed? (Of course, another approach here would be to look at both sides of the coin—but this is a metaphorical coin.)

Answered Same DayDec 26, 2021

Answer To: CONDITIONING AND EVIDENCE A hat contains 100 coins, where 99 are fair but one is double-headed...

David answered on Dec 26 2021

124 Votes

A hat contains 100 coins in which 99 fair and one is double-headed.
Probability of getting Heads on fair coin = ½
Probability of getting Heads on a double-headed coin=1
Let A be the event that the chosen coin is double headed
B be the event that the randomly chosen coin lands Heads 7...

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CONDITIONING AND EVIDENCE A hat contains 100 coins, where 99 are fair but one is double-headed (always landing Heads). A coin is chosen uniformly at random. The chosen coin is ?ipped 7 times, and it...

Answer To: CONDITIONING AND EVIDENCE A hat contains 100 coins, where 99 are fair but one is double-headed...

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