Question

Geometry

A jar contains 5 red balls and 3 white balls. A ball is selected and its color is noted, then the ball is replaced. A second ball is selected and its color is noted. Find the probability of each of the following.

a. What is the probability of selecting 2 red balls?
b. What is the probability of selecting 1 red ball and then 1 white ball?

Answer 1

Explanation:

a)

P(Red)=5/8

(5/8)^2=25/64

b)

P(Red)=5/8 P(White)=3/8

5/8*3/8=15/64

Answer 2

Answer:awnsers below

Explanation:

a. The probability of selecting 2 red balls is (5/8) * (5/8) = 25/64. This is because the probability of selecting a red ball on the first draw is 5/8, and the probability of selecting a red ball on the second draw is also 5/8, since the ball is replaced after each draw.

b. The probability of selecting 1 red ball and then 1 white ball is (5/8) * (3/8) = 15/64. This is because the probability of selecting a red ball on the first draw is 5/8, and the probability of selecting a white ball on the second draw is 3/8, since the ball is replaced after each draw.