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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 :

facundo3141592

the probability of getting a letter M or T and a number smaller than 10 is P = 0.2182

How to find the probability?

Here we want to get the probability of getting a letter M or T and a number smaller than 10.

First, let's find the probability for the letter.

On the bag, there are 11 tiles, and on the word mathematics, we have two letters T and two letters M (4 in total). So the probability of getting one of these is:

p = 4/11

For the other bag, there are 15 tiles, and 9 of these have numbers smaller than 10, so the probability of getting one of these is:

q = 9/15 = 3/5

The joint probability is then:

P = p*q = (4/11)*(3/5) = 0.2182

the probability of getting a letter M or T and a number smaller than 10 is P = 0.2182

If you want to learn more about probability:

https://brainly.com/question/25870256

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