Question

Urn One has 11 red balls and 8 blue balls. Urn Two has 10 red balls...

Urn One has 11 red balls and 8 blue balls. Urn Two has 10 red balls and 5 blue balls. An urn is selected at random and then a ball is selected from the selected urn at random. What is the probability that the ball selected is blue? State your answer to three places of decimal.

Your Answer:

0 0
Add a comment Improve this question Transcribed image text
Answer #1

P(Blue in urn 1) = 8 / (11+8) = 8/19

P(Blue in urn 2) = 5 / (10+5) = 5/15

An urn is selected at random, so probability of selection of urn = 1/2

P(Blue balls) = 1/2 [ P(Blue in urn 1) + P(Blue in urn 2) ]

= 1/2 [ 8/19 + 5/15 ]

= 0.377

Add a comment
Know the answer?
Add Answer to:
Urn One has 11 red balls and 8 blue balls. Urn Two has 10 red balls...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • An urn contains four red balls, six black balls, and five green balls. If two balls...

    An urn contains four red balls, six black balls, and five green balls. If two balls are selected at random without replacement from the urn, what is the probability that a red ball and a black ball will be selected? (Round your answer to three decimal places.)

  • Urn one contains two red, one black balls, urn two contains one red, three black balls,...

    Urn one contains two red, one black balls, urn two contains one red, three black balls, and urn three contains one red, one black balls. A student chooses urn one or urn two at random, and selects one ball from the chosen urn at random and transfers it into urn three. Then he draws a ball from urn three. Given that the ball he draws is red, what is the probability that the transferred ball is red?

  • An urn contains 20 red balls and 50 blue balls. Two are chosen at random, one...

    An urn contains 20 red balls and 50 blue balls. Two are chosen at random, one after the other, without replacement. (Round your answers to one decimal place.) (a) Use a tree diagram to help calculate the following probabilities: the probability (as a %) that both balls are red % the probability (as a %) that the first ball is red and the second is not % the probability (as a %) that the first ball is not red and...

  • In an urn, there are 10 blue balls and 10 red balls. Balls are randomly selected...

    In an urn, there are 10 blue balls and 10 red balls. Balls are randomly selected from the urn over and over again. Find the probability that the third blue ball is chosen on the fifth selection under the different assumptions: a) Balls are NOT returned to the urn after selection. b) Balls are returned to the urn after being selected.

  • In an urn, there are 10 blue balls and 10 red balls. Balls are randomly selected...

    In an urn, there are 10 blue balls and 10 red balls. Balls are randomly selected from the urn over and over again. Find the probability that the third blue ball is chosen on the fifth selection under the different assumptions: a) Balls are NOT returned to the urn after selection. b) Balls are returned to the urn after being selected.

  • In an urn, there are 3 blue balls and 2 red balls. A ball is selected...

    In an urn, there are 3 blue balls and 2 red balls. A ball is selected at random without replacement. Regardless of what color the first ball was, a blue ball is added to the urn (so there are a total of 5 balls in the urn now). Then a second ball is selected from the urn. a) What is the chance that the second ball selected from the urn is blue? b) Given that the second ball is blue,...

  • In an urn, there are 3 blue balls and 2 red balls. A ball is selected...

    In an urn, there are 3 blue balls and 2 red balls. A ball is selected at random without replacement. Regardless of what color the first ball was, a blue ball is added to the urn (so there are a total of 5 balls in the urn now). Then a second ball is selected from the urn. a) What is the chance that the second ball selected from the urn is blue? b) Given that the second ball is blue,...

  • An urn contains 6 red, 9 green, and 11 blue balls. The following is repeated 3...

    An urn contains 6 red, 9 green, and 11 blue balls. The following is repeated 3 times: a ball is selected from the urn at random and removed (called “sampling without replacement”). Give your answers to 3 significant digits. (a) What is the probability that all 3 selected balls are the same color? (b) What is the probability that all 3 selected balls are different colors? (c) Repeat part (a) assuming “sampling with replacement”. That is, the following is repeated...

  • Refer to Example 4.40. An urn contains six red balls, six white balls, and six blue...

    Refer to Example 4.40. An urn contains six red balls, six white balls, and six blue balls, and sample of four balls is drawn at random without replacement. Compute the probability that all of the balls in the sample are the same color. (Round your answer to four decimal places.) b) An urn contains eight red balls, eight white balls, and eight blue balls, and sample of five balls is drawn at random without replacement. Compute the probability that the...

  • 53.An urn contains six red balls and five blue balls. Four balls are drawn at random,...

    53.An urn contains six red balls and five blue balls. Four balls are drawn at random, without replacement. (a) What is the probability that all four balls are red? (Round your answer to four decimal places.) (b) What is the probability that two of the balls are red and two are blue? (Round your answer to four decimal places.)

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT