Question

a game is played where 26 tiles are in a bag. each tile has a different letter of the alphabet on it. if you draw 5 letters what is the probability of the letters being m-u-s-i-c in order if there is no replacement?

Answer 1

do you have more info ?

Answer 2

`(1)/(^(26)C_5)`

Explanation:

We are given that there are 26 tiles .

Now to make the word MUSIC we have to select 5 tiles.

So, the number of ways of selecting five tiles for making word music =
`^(26)C_5`

Now we know that the word MUSIC can be correctly spelled in only 1 way

So, Probability of the letters being m-u-s-i-c in order if there is no replacement =
`(1)/(^(26)C_5)`

Hence the probability of the letters being m-u-s-i-c in order if there is no replacement is
`(1)/(^(26)C_5)`