Question

The letters of the word Mississippi are placed in a hat. What is the probability that the first two letters drawn are both i if the first letter drawn is not replaced?

Answer 1

on the word you have 11 letters in total
4 letters are (i)

Answer 2

probability to draw an i would be
4/11, then probability to draw a second (i) 3/10, because now there are 10 ltrs left and 3 (i) left

Answer 3

There are four i's in the word and the word has 11 letters.
The probability of drawing an i on the first draw is 4/11.
Given that an i was drawn on the first draw, the probability of drawing an i on the second draw is 3/10.
The required probability is found from the product of the 2 values of probability:
\[P(2\ letter\ i)=\frac{4}{11} \times \frac{3}{10}\]

Answer 4

so multiply
4/11 x 3/10

Answer 5

6/55 ?

Answer 6

You answer is correct :)

Answer 7

thanks so much! both of you!

Answer 8

You're welcome :)