Assume you have an infinite supply of these candy pieces from which to draw. if you draw two pieces one right after the​ other, are the events of getting a greena green on the first and a greena green on the second​ disjoint, independent, or​ neither?

Respuesta :

First let us define what probability is. Probability is the measure of chance on getting a success or successful event out of all the total possible events. This can be expressed mathematically as:

Probability = Number of successful events / Total events

Which in this case can be written as:

Probability = Number of green candies / Total candies

So if we draw 1 candy in the 1st trial, therefore the value of the numerator and denominator would vary in the 2nd trial (since there is reduction of green candy & total candy). However the problem specifically states that there is an INFINITE supply of candies. Which means that the value do not change in the next trial.

Therefore the probability in the 2nd trial is not affected by the event of the 1st trial. So they are independent events. They cannot be disjoint since they are not mutually exclusive, both can occur at the same time (green and green).

 

Answer:

Independent