Question

You have 100 quarters in a jar. One of the quarters is double sided (heads). You pick out a random quarter and flip it 7 times, and get all heads. what is the probability you picked the double sided quarter? Then, given that you flipped it 7 times with all heads, what is the probability that you'll get heads on the 8th flip?

Answer 1

Answer:

Probability of having the double sided coin is 1 %

Probability of getting heads on the next flip is 50%

Step-by-step explanation:

Based on the information given to us in the question we have a total of 100 coins in the bag and only 1 is double heads. Therefore the probability of you picking the double sided coin is $\frac{1}{100}$ or 1 % . This probability is not affected by the fact that the coin you chose got heads 7 times in 7 flips.

Since a coin has 2 sides and you do not know whether the coin you have is the double sided coin then you have to assume that it is a normal 2 sided coin. Therefore a normal 2 sided coin has a probability of $\frac{1}{2}$ or 50% with every flip of getting heads.

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