Question

You have a plate of 50 cookies. Ten have chocolate chips and 14 have pecans. On the cookies mentioned in the preceding sentence, 6 have both chocolate chips and pecans. You select a cookie at random. What is the probability that your cookie has chocolate chips or pecans

Answer 1

The probability is 0.36

Explanation:

For calculated the probability that a cookie has chocolate chips or pecans, we need to divide the number of cookies that has chocolate chips or pecans between the total number of cookies.

So, the number of cookies that has chocolate chips or pecans is calculate as: A + B - C

Where A are the number of cookies that have chocolate chips, B are the number of cookies that have Pecans and C are the number of cookies that have both chocolate chips and pecans. Then, the number of cookies that has chocolate chips or pecans is:

10 + 14 - 6 = 18

Finally, the total number of cookies is 50 so the probability is:

`(18)/(50) =0.36`