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A person has 5 coins in his pocket. Two have both sides being heads, one has...

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Basic Math

A person has 5 coins in his pocket. Two have both sides beingheads, one has both sides being tails, and two are normal. Thecoins cannot be distinguished unless one looks at them.

a) The person closes his eyes, picks a coin from pocket atrandom, and tosses it. What is the probability that the down-sideof the coin is heads?

b) He opens his eyes and sees that the up-side of the coin isheads. What is the probability that the downside is also heads(namely, this is a two-heads coin).

c) Without looking at the other side of the coin, he tosses itagain. What is the probability that the downside is heads?

d) Now he looks at the upside of the coin and it is heads. Whatis the probability that the downside of the coin is heads?

Answer & Explanation Solved by verified expert
3.9 Ratings (662 Votes)
a Note that two not one of the coins are normal the total number of coins is 5 not 4 So PH on down side should be 151101212 35 b PH on down side given H on upper side PH on both sidesPH on upper side PH on both sidesPH on down side 2535 23 so you answered    See Answer
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