Rodney packs 3 shirts for a trip. It is early morning so he just grabs 3shirts randomly from his closet. The closet contains 10 shirts: 5 striped, 3 plaid, and 2solid colored ones. What is the probability that he chose 2 striped and 1 plaid shirt

Probability of choosing 2 stripped and 1 plaid shirts = 0.25

Step-by-step explanation:

Number of stripped shirt in the closet = 5

Number of plaid shirts = 3

Number of solid color shirts = 2

Total number of shirts = 10

Number ways to pick 2 stripped out of 5 stripped shirts =

                                                                =

                                                                = 10

Similarly, number of ways to pick 1 plaid shirt out of 3 plaid shirts =

                                                                 =

                                                                 = 3

Total number of ways to pick 3 shirts out of 10 =

                                                                 =

                                                                 = 120

Therefore, probability of choosing 2 stripped and 1 plaid shirt

=

=

=

= 0.25

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! )

is only a line? i think so