Question

3. * One urn contains one black ball and one red ball. A second urn contains one white ball and one red ball. One ball is selected at random from each urn (a) Exhibit the sample space ? for this experiment. (b) Show the subset of ? that defines the event A that both balls will be of the same color. (c) Assume each elementary outcome in 2 is equally likely to occur. What is the probability that both balls will be of the same color, i.e., P(A)? d) Assume each elementary outcome in ? is equally likely to occur. What is the probability that one ba wl be green? Justify your answer.

Answer 1

3:

(a)

Let B1 shows the black ball of urn I and R1 shows the red ball of urn I. Let W2 shows the white ball of urn II and R2 shows the red ball of urn II. The sample space is

Let B1 shows the black ball of urn I and R1 shows the red ball of urn I. Let W2 shows the white ball of urn II and R2 shows the red ball of urn II. The sample space is Ohm = {B_1 W_2, B_1 R_2, R_1 W_2, R_1 R_2} A = {R_1 R_2} P(A) = 1/4 There is no ball of green color so the probability that one ball is green is zero.

(b)

$A=\left \{ R_{1}R_{2} \right \}$

(c)

(d)

There is no ball of green color so the probability that one ball is green is zero.