Sam has a bag of 11 tiles representing each letter in the word MATHEMATICS and another bag containing 15 tiles numbered 1 through 15. If Sam draws 1 tile from each bag at random, find P(letter M or T, number less than 10)? Give answers as a reduced fraction OR a decimal rounded to thousandths place.



Answer :

The probability of getting the letter M or T, and a number less than 10 is: 12/55

How to find the probability?

On the first bag there are 11 tiles, such that 2 of these tiles have the letter M and 2 of the tiles have the letter T.

Then, 4 out of the 11 tiles have the letters M or T, so the probability of getting one of these letters is:

P = 4/11.

In the other bag there are 15 tiles, and the  numbers less than 10 are {1, 2, 3, 4, 5, 6, 7 ,8, 9}

So 9 out of the 15 tiles meet the condition, then the probability of getting a number less than 10 is:

Q = 9/15 = 3/5

The joint probability is given by the product between the individual probabilities, so the probability of getting the letter M or T, and a number less than 10 is:

p = P*Q = (4/11)*(3/5) = 12/55

If you want to learn more about probability:

https://brainly.com/question/25870256

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