Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

camilita0623

  • 2 years ago

Twenty marbles are used to spell a word—9 blue ones, 5 red ones, 3 yellow ones and 3 green ones.? Twenty marbles are used to spell a word—9 blue ones, 5 red ones, 3 yellow ones and 3 green ones.? If two marbles are drawn from the set of twenty marbles at random in succession and without replacement, what is the probability (as a reduced fraction) of choosing a marble other than green each time

  • This Question is Open
  1. kropot72
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    On the first draw there are 17 marbles that are not green. So the probability of choosing a marble other than green is 17/20. Having drawn a marble other than green on the first draw, on the second draw there are 16 marbles that are not green. So the probability of choosing a marble other than green is 16/9. The required probability is the product of the above 2 values of probability; \[P(no\ green\ after\ 2\ draws)=\frac{17}{20}\times \frac{16}{19}=you\ can\ calculate\]

  2. camilita0623
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that what I got but their is no answer like that. The answer choice is 1/3, 68/95, 1/11, 3/17

  3. camilita0623
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so I don't know what to do cause I got 16/19 but is not their

  4. kropot72
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    16/19 is not the correct result. When you reduce the fraction by dividing 16 by 4 and dividing 20 by 4 you can get the correct result as follows: \[\frac{17}{20}\times\frac{16}{19}=\frac{17\times4}{5\times19}=you\ can\ calculate\]

  5. camilita0623
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so is 68 over 95

  6. kropot72
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes. That is the correct choice.

  7. camilita0623
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thank so much :)

  8. kropot72
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You're welcome :)

  9. camilita0623
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is that the reduce franction?

  10. kropot72
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes, it is. the original fraction is \[\frac{17\times16}{20\times19}=\frac{272}{380}\] 4 is a common factor to numerator and denominator. Therefore we can divide the numerator and the denominator by 4 giving:\[\frac{\frac{272}{4}}{\frac{380}{4}}=\frac{68}{95}\] In the above way the fraction has been reduced.

  11. camilita0623
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you so much, you save my life :)

  12. kropot72
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You're welcome :)

  13. 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