Question

8 blue, 12 red in box A; 6 blue, 18 red in box B; There are...

8 blue, 12 red in box A; 6 blue, 18 red in box B; There are 12 blue and 4 red balls in the C box. A random ball is selected from a randomly selected box and appears to be red.
a) the probability that this ball is red
b) the probability that this ball has been withdrawn from box A
c) the probability that this ball was withdrawn from bag B
d) the probability that this ball was withdrawn from bag C

Homework Answers

Answer #1

Let A : Box A, B: Box B, C:Box C

R: Red Ball, B: Blue Ball

P(R|A) = 12/20

P(R|B) = 18/24

P(R|C) = 4/16

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
There are two bags full of balls, and bag A has 18 red balls, 15 blue...
There are two bags full of balls, and bag A has 18 red balls, 15 blue balls and 17 green balls, while bag B has 10 red balls, 18 blue balls and 22 green balls. A ball from each bag is randomly drawn. What is the probability that you get red from Bag A and Blue from bag B?
Suppose you have a box with 10 red balls, 4 green balls, and 6 blue balls....
Suppose you have a box with 10 red balls, 4 green balls, and 6 blue balls. Answer the following questions. Think about the questions below. They look similar, but how are they different? a) You randomly select two balls from the box. What is the probability of selecting two red balls? b) Suppose you are asked to draw a ball, return whatever you picked, and draw another ball. This is called sampling with replacement. What is the probability of selecting...
Consider a box containing 8 red, 10 blue and 12 yellow balls. Draw three balls one...
Consider a box containing 8 red, 10 blue and 12 yellow balls. Draw three balls one by one with replacement. Then answer the following questions: a) Write down the sample space b) Calculate the probability that there is at least one red ball c) What is the probability that the first two balls are red d) Calculate the probability that the first two balls are red given at least one ball is red? e) What can you conclude based on...
A box contains 6 red balls and 4 blue balls. Drawing three balls from the box...
A box contains 6 red balls and 4 blue balls. Drawing three balls from the box randomly, what is the probability that exactly two of the balls are red?
2. Box A contains 10 red balls, and 15 green balls. Box B contains 12 red...
2. Box A contains 10 red balls, and 15 green balls. Box B contains 12 red balls and 17 balls green. A ball is taken randomly from box A and then returned to box B. From box B a random ball is drawn. a) Determine the chance that two green balls are taken. b) Determine the chance that 1 red ball is drawn and 1 green ball is taken
A bag contains 10 white, 12 blue, 13 red, 7 yellow, and 8 green wooded balls....
A bag contains 10 white, 12 blue, 13 red, 7 yellow, and 8 green wooded balls. A ball is selected from the bag, its color noted, then replaced. You then draw a second ball, note its color and then replace the ball. What is the probability of selecting 2 white balls? Round to the nearest ten-thousandth.
Bag 1 contains six red balls, seven blue balls, and three green balls. Bag 2 contains...
Bag 1 contains six red balls, seven blue balls, and three green balls. Bag 2 contains eight red balls, eight blue balls, and two green balls. Bag 3 contains two red balls, nine blue balls, and eight green balls. Bag 4 contains four red balls, seven blue balls, and no green balls. Bag 1 is chosen with a probability of 0.15, bag 2 with a probability of 0.20, bag 3 with a probability of 0.35, and bag 4 with a...
Box 1 contains 2 red balls and one blue ball. Box 2 contains 3 blue balls...
Box 1 contains 2 red balls and one blue ball. Box 2 contains 3 blue balls and 1 red ball. A coin is tossed. If it falls heads up, box 1 is selected and a ball is drawn. If it falls tails up, box 2 is selected and a ball is drawn. Find the probability of selecting a red ball.
For this problem, assume the box contains 8 blue balls, 5 red balls, and 4 white...
For this problem, assume the box contains 8 blue balls, 5 red balls, and 4 white balls, and that we choose two balls at random from the box. What is the probability of neither being blue given that neither is red?
In a box are 3 red balls and 5 blue balls. From this box are drawn...
In a box are 3 red balls and 5 blue balls. From this box are drawn 4 balls and placed in a second box. Given the ball drawn from the second box is red, what is the probability that 2 red and 2 blue balls were transferred from box 1 to box 2?