Question

A box contains 2 blue marbles and 2 yellow marbles. An experiment consists of

reaching in and randomly taking two of the marbles.

(a) What is the sample space for this experiment. Are the outcomes equally

likely?

(b) What is the probability that both marbles will be yellow?

(c) What is the probability of obtaining at least one blue marble? How is this

probability related to the probability found in part (b)?

(d) What is the probability of obtaining a blue marble and a yellow marble?

Answer 1

Answer:

Step-by-step explanation:

Blue(B) = 2

Yellow(Y) = 2

a) Sample Space = {BB,BY,YB,YY} ; Yes , all outcomes are equally likely

b) Probab(Y) = 1/4

c)Probab(Blue marble) = 3/4  ;   It's related as the total outcomes are 4 and all yellow marbles are 0.25. Thus , remaining probability = 0.75 = 3/5

d) Probability = 2/4 = 1/2

Hope this helps