You have a box of chocolates (30 chocolates in the box). 15 are filled with caramel, 10 are filled with chocolate, and 5 are filled with cream. You and a friend pick a chocolate at random. What is the probability that you both pick chocolate

10.34% probability that you both pick chocolate

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, it is not important if you or your friends picks first. So we use the combinations formula to find the number of desired and total outcomes.

Combinations Formula:

is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:

10 are filled with chocolate, and we want to pick 2. So

Total outcomes:

The box has 30 chocolates, and 2 are picked, so:

Probability:

10.34% probability that you both pick chocolate

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

b

step-by-step explanation: