Question

(I pt ench) Show all the work. Points will be taken offif it's unclear how the final resuilts are obtained. 1. A gum-ball machine gives out a red, a black, or a green gum ball. (a) Describe an appropriate sample space S (b) List ALL possible events (e) If R is the event "red", then list the onteones in R (d) If G is the event "green", then what is Rnc?

Answer 1

a) sample space is all possible outcomes

sample space is

{red , black , green}

b)

possible events are

1) red balls is obtained from machine gun

2) green ball is obatained from machine gun

3)black ball is obtained from machine gun

4) no red ball is obtained

5) no green ball is obtained

6)no black ball is obatined

c)

R+R'=sample space

outcomes on R' = black , green

d)

there is no common elements in R and G

so, R n G = 0