A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

A bowl contains 4 yellow marbles and 3 red marbles. Eric randomly draws 3 marbles from the bowl. He replaces each marble after it is drawn. What is the probability that he draws 1 yellow marble and 2 red marbles?

  • This Question is Open
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Welcome to OpenStudy!

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    How many marbles are there in total in the bowl?

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    7

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Right. When Eric draws the first marble, what's the probability that it will be yellow?

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Hello?

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    4/7?

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Correct. Very good. Now Eric puts the marble back in the bowl so there's still 4 yellow and 3 red marbles in the bowl. So it's just like we're back at the beginning again. Now, Eric draws another marble. What is the probability it will be red?

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Hello?

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    3/7

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Very good. Now Eric puts that marble back in the bowl and it's just like we're back at the beginning. Eric draws for the third time. What's the probability it will be red?

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    3/7

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Good. In probability, these events are called independent events because one draw has no effect on the next one (Eric puts the marble back in the bowl). The total probability of drawing 1 yellow and 2 red is the product of the three individual probabilities, i.e.\[P = \frac{ 4 }{ 7 } \times \frac{ 3 }{ 7 } \times \frac{ 3 }{ 7 }\]What do you get?

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    36/343

  14. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.