Question

Suppose a certain candy is made up of​ red, yellow,​ green, blue, and orange pieces. ​a) If you draw one piece of​ candy, are the events of getting a green one and getting a yellow one​ disjoint, independent, or​ neither? ​b) 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 blue on the first and a blue on the second​ disjoint, independent, or​ neither? ​c) Can disjoint events ever be​ independent? Explain.

Answer 1

Answer:

(a) Disjoint

(b) Independent

(c) No

Explanation:

(a) Disjoint events are those events that are mutually exclusive or we can say that the two events can not occur at the same instant.

Thus in a single draw we can not get both yellow and green ball.

(b) Those events in which the probability of the occurrence of one event does not affect the probability of the happening of another event in any way.

Thus the two pieces drawn are from the infinite supply does not affect one another and hence are independent.

(c) No, since after one event has occurred the occurrence of the other one is not possible.