In a bag of 100 candies, 55 candies are circle-shaped and 45 are square-shaped. 35 candies have almond cores, and the remaining ones have pecan cores. there are 38 circle-shaped candies with pecan cores. what is the probability that a candy picked at random is circle-shaped or has a pecan core? a) 0.20 b) 0.22 c) 0.79 d) 0.82

the answer is D

Step-by-step explanation:

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! )

1

step-by-step explanation:

it's the only multiple of both and the least