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Homework answers / question archive / A large cookie jar contains the following selection of mini-cookies: 10 sugar, 14 oatmeal raisin, 18 peanut butter, and 6 chocolate chip cookies
A large cookie jar contains the following selection of mini-cookies: 10 sugar, 14 oatmeal raisin, 18 peanut butter, and 6 chocolate chip cookies. You randomly select 2 cookies, one at a time, without replacement.
Compute the following probabilities.
(a) probability of getting 2 peanut butter cookies 0.375
(b) probability of getting 2 sugar cookies 0.208
(c) probability of not getting 2 sugar cookies
(d) probability of getting one oatmeal raisin and then one chocolate chip cookie
Show all calculator commands and round your answer to 3 decimal places.
Answer:
P(A) = n(E)/n(S)
Where P(A) is the probability of an event A
n(E) is the number of favorable outcomes
n(S) is the total number of events in the sample space.
10 sugar, 14 oatmeal raisin, 18 peanut butter, and 6 chocolate chip cookies. A total of 48
a)
P = P(selecting first a peanut butter cooky) * P(selecting second a peanut butter cooky)
P = (18 / 48) * (17 / 47) = 306 / 2256 = 0.136
b)
P = P(selecting first a sugar cooky) * P(selecting second a sugar cooky)
P = (10 / 48) * (9 / 47) = 90 / 2256 = 0.040
c)
Not getting 2 sugar cooky = 1 - getting sugar cooky = 1 - 0.04 = 0.960
d)
P = P(selecting first a oatmeal cooky) * P(selecting second a chocolate chip cooky)
P = (14 / 48) * (6 / 47) = 84 / 2256 = 0.037
