Answer :
The odds against picking an i are 5:3, since there are 5 letters that are not i and 3 letters that are.
In the question , it is given that , Justin writes the letter illinois on cards and then places the cards in a hat .
Number of i 's are 3 and total number of alphabets are 8.
Probability of getting i is
[tex] = \frac{3}{8} [/tex]
And probability of not getting i is
[tex] 1- \frac{3}{8} = \frac{5}{8} [/tex]
Required odd in against is
[tex] = \frac{probability \ of \ not \ getting \ i}{ probability \ of \ getting \ i} [/tex]
[tex] = \frac{5/8}{3/8} = \frac{5/8}{3/8} = \frac{5}{3} [/tex]