There are 4 chocolate chip cookies and 12 oatmeal cookies in a jar. If you reach in an randomly choose 2 cookies without replacing the first, what is the probability that both will be chocolate chip?
Thanks!
There are 16 cookies in the jar,
Since there are 4 choc chips you have 4/16 or 1/4 to get a choc chip
You have to multiply 1/4 times the chance of getting a second choc. chip.
Since you aren't replacing, you now have 3/15 chances since you have to assume you got the choc. chip the first time and there were only 15 cookies left.
Multiply 1/4 times 1/5.
Thank you so much JJ! I am home schooled and I have been struggling with these probability questions! You explained it and it made sense! Thanks!
16
thx
you are stupid
not the awencer
fu
sorry i dont know the answer
To find the probability of selecting two chocolate chip cookies without replacement, we need to determine the total number of cookies and the number of chocolate chip cookies remaining after the first selection.
Step 1: Calculate the total number of cookies in the jar.
There are 4 chocolate chip cookies and 12 oatmeal cookies, so the total number of cookies is 4 + 12 = 16.
Step 2: Calculate the probability of selecting a chocolate chip cookie on the first try.
Since there are 4 chocolate chip cookies and 16 total cookies, the probability of selecting a chocolate chip cookie on the first try is 4/16 = 1/4.
Step 3: Calculate the probability of selecting a chocolate chip cookie on the second try.
After the first selection, there are now 3 chocolate chip cookies left and 15 total cookies. Therefore, the probability of selecting a chocolate chip cookie on the second try, without replacement, is 3/15 = 1/5.
Step 4: Multiply the probabilities from step 2 and step 3.
To find the probability of both events occurring (selecting a chocolate chip cookie on the first try and then selecting another chocolate chip cookie without replacement), we multiply the probabilities: (1/4) * (1/5) = 1/20.
Therefore, the probability of randomly selecting two chocolate chip cookies without replacing the first one is 1/20.