# What is the probability that the next letter they draw is a letter found only in Claire's name?

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**Claire, Madeline, and James each write the letters of their names on pieces of paper, with one letter on each piece. All the pieces of paper are put into a bag, and they draw one out. The first letter they draw is an "e", and they put it aside.**

**Claire, Madeline, and James each write the letters of their names on pieces of paper, with one letter on each piece. All the pieces of paper are put into a bag, and they draw one out. The first letter they draw is an "e", and they put it aside.**

##### 1 Answer

#### Answer:

#### Explanation:

Let's first list out the letters in question:

And so to start, we have 3 a, 1 c, 1 d, 4 e, 2 i, 1 j, 2 l, 2 m, 1 n, 1 r, 1 s.

An e is drawn and set aside, leaving: 3 a, 1 c, 1 d, 3 e, 2 i, 1 j, 2 l, 2 m, 1 n, 1 r, 1 s.

Of the remaining 18 letters, only 2 are unique to Claire's name (1 c, 1 r). This means that the probability of drawing a letter that is unique to Claire's name is: