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odolwa99

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## Homework Statement

In order to highlight the problem I'm having here I have posted two questions, the answer for the second matches the textbook answer, the first does not. The wording of both questions appears to be the same. Have I gone wrong in the 1st question, or is the book incorrect?

Many thanks.

**Q. 1.**Three people were selected at random and asked on which day of the week their next birthday was falling. What is the probability that only one of the birthdays falls on a Sunday.

**Q. 2.**A fair die is thrown 3 times. Find the probability that there will be exactly one 6.

## Homework Equations

## The Attempt at a Solution

**Attempt 1:**[itex]P(X)=\binom{3}{1}\binom{1}{7}^1\binom{6}{7}^2= \frac{108}{343}[/itex]

**Ans. 1.:**(From textbook): [itex]\frac{36}{343}[/itex]

**Attempt 2:**[itex]P(X)=\binom{3}{1}\binom{1}{6}^1\binom{5}{6}^2= \frac{25}{72}[/itex]

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