Ajar contains 2 sugar cookies, 5 peanut butter cookies, and 3 chocolate chip cookies. what is the probability of randomly choosing a sugar cookie, not replacing it, and then choosing a peanut butter cookie?

1/9

Step-by-step explanation:

The total number of cookies is

2 sugar cookies+ 5 peanut butter cookies+ 3 chocolate chip cookies= 10

We want to take a sugar cookie

P(sugar cookie) = # sugar cookie/total cookies

                          = 2/10 = 1/5

Now we eat the cookie (not replacing it) so there are only 9 cookies

1 sugar cookies+ 5 peanut butter cookies+ 3 chocolate chip cookies= 9

Now we want a peanut butter cookie

P(peanut butter  cookie) = # peanut butter cookie/total cookies

                          = 5/9

To get the probability of both events happening, multiply them together

P( sugar, peanut) = 1/5 * 5/9

                            = 1/9

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.