1) The probability of drawing an 'm' or 'a' from the letters in MATHEMATICS is 4/11 since there are 2 'm's and 2 'a's among the 11 letters. 2) The probability of drawing a consonant or 'i' is 8/11 since there are 7 consonants and 1 'i' among the 11 letters. 3) The probability of drawing a 't' is 2/11, and the probability of drawing an 'a' after removing the 't' is 1/5. 4) The probability of drawing an 'h' is 1/11, and the probability of drawing a vowel after the 'h' is 2/5

1. 1) p(m or a then c)
2) p(a consonant or i)
3) p(t then a)
4) p(h then a vowel)
the letters in the word mathematics are written on pieces of paper and placed in a hat.a slip of
paper is drawn from the hat.please help me find each of the following probabilities without
replacing the letters.
Solution
MATHEMATICS There are 2 m's and 2 a's so your probabilty of drawing either would be 4/11.
Once you draw one out that would leave 10 letters so your probablity of drawing a "c" would
be 1/10.
The chances or probability of drawing a consonant or an "i" would be 8/11 because there are 7
consonants adn one "i".
The probability of drawing a "t" would be 2/11. After you draw one out, you will have 10
letters left so your probability of drawing an "a" would be 2/10 which reduces to 1/5.
Finally, your probability of drawing an "h" would be 1/11 then a vowel would be 4/10 or 2/5
after reducing.