00:01
This problem says carrie buys a bag of cookies that contains six chocolate chip cookies, eight peanut butter, five sugar, and five oatmeal raisin cookies.
00:08
And we want to know what's the probability that carrie randomly selects a peanut butter cookie from the bag, eats it, and then randomly selects another peanut butter cookie.
00:15
And to figure this out, we're going to look at the probability of these two events separately, and then multiply the probabilities together to figure out the probability that they would both occur.
00:24
And for the probability that our first selection would be peanut butter, we need to figure out the total number of cookies that are in the bag.
00:30
And six plus eight plus five plus five tells us that there's 24 total.
00:35
So the probability of selecting a peanut butter cookie out of the total 24 would be the eight peanut butters, or the eight successes, out of the 24.
00:43
And when we go to look at the probability that the next cookie will be peanut butter, we need to keep in mind that when she took that cookie out of the bag, she ate it, which means she can't replace it...