/There are six balls in an urn. They are identical except for color. Three are r

Question

/There are six balls in an urn. They are identical except for color. Three are red, two are blue, and one is yellow. You are to draw a ball from the urn, note its color, and set it aside. Then you are to draw another ball from the urn and note its color.

(a) Make a tree diagram to show all possible outcomes of the experiment.

(b) Let P(x, y) be the probability of choosing an x-colored ball on the first draw and a y-colored ball on the second draw. Compute the probability for each outcome of the experiment. (Enter your answers as fractions.)

P(R, R) =

P(R, B) =

P(R, Y) =

P(B, R) =

P(B, B) =

P(B, Y) =

P(Y, R) =

P(Y, B) =

Juts need the answer for part B

THANKS

Explanation / Answer

3R, 2B and 1Y

P(R, R) = 3/6 *2/5 = 1/5

P(R, B) = 3/6 *2/5 = 1/5

P(R, Y) = 3/6 *1/5 = 1/10

P(B, R) = 2/6 *3/5 = 1/5

P(B, B) = 2/6 *1/5 = 1/15

P(B, Y) = 2/6 *1/5 = 1/15

P(Y, R) = 1/6 *3/5 = 1/10

P(Y, B) = 1/6 * 2/5 = 1/15

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.