## A bowl contains three coins, two of which are normal coins and one coin has head on both sides and is biased. A coin is picked at random and

Question

A bowl contains three coins, two of which are normal coins and one coin has head on both sides and is biased. A coin is picked at random and
tossed. What is the probability of getting head?

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3 weeks 2021-10-05T06:53:10+00:00 2 Answers 0 views 0

1. Step-by-step explanation:

A bowl contains three coins, two of which are normal coins and one coin has head on both sides and is biased. A coin is picked at random and

tossed. What is the probability of getting head?

2. Answer: Your answer to part (a) is incorrect. If you pull out a random coin and flip, you have six scenarios:

Tail of fair coin

Tail 1 of 2-tailed coin

Tail 2 of 2-tailed coin

3 of those are “heads”, and 2 of those 3 correspond to the 2 headed coin. Thus, the answer to part (a) is 23

Part (b): Probability of getting double headed * getting head from that double headed + Probability of getting fair * getting head from that fair coin

23⋅1+13⋅12=56

Part (c): Now you have 3⋅2⋅2=12 possiblities; check all of them and see which of the ones involving two heads involve the double headed coin.

You can also look at Bayes’s Theorem; it covers problems like this one.

Step-by-step explanation: