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Sufiyancs Group Title

This question is related to probability, please help ASAP!!! Bag A contains 3 red balls and 3 blue balls. Bag B contains 1 red ball and 3 blue balls. Q: a ball is taken at random from bag A and placed in bag B. Then a ball is chosen from bag B. What is probability that the ball taken from bag B is red... Explain the logic... i know the answer but i dont know the logic behind it please help

  • one year ago
  • one year ago

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  1. Jemurray3 Group Title
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    What's the probability that the ball you remove is red if you added a red ball from bag A?

    • one year ago
  2. Sufiyancs Group Title
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    2/5

    • one year ago
  3. Sufiyancs Group Title
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    am i right? @Jemurray3

    • one year ago
  4. Jemurray3 Group Title
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    Yes, that's right. What's the probability that the ball you remove is red if you added a blue ball from bag A?

    • one year ago
  5. Sufiyancs Group Title
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    1/5

    • one year ago
  6. Jemurray3 Group Title
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    Lastly, what's the probability that you picked a red marble from bag A? Or a blue one?

    • one year ago
  7. Sufiyancs Group Title
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    1/2

    • one year ago
  8. Sufiyancs Group Title
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    or 3/6

    • one year ago
  9. Jemurray3 Group Title
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    Okay. So the two ways you can end up with a red marble at the end are: (1) Move a red one from bag A to bag B, and then pick a red one from bag B (2) Move a blue one from bag A to bag B, and then pick a red one from bag B

    • one year ago
  10. Sufiyancs Group Title
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    yes

    • one year ago
  11. Jemurray3 Group Title
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    The probability of the first one is (1/2) * (2/5) and the probability for the second one is (1/2) * (1/5). Since both sequences give us a red one at the end, you add the probabilities to get the final answer.

    • one year ago
  12. Sufiyancs Group Title
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    yea i know that but the part i didnt understand is why are we multiplying 1/2 with each possibility

    • one year ago
  13. Jemurray3 Group Title
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    Because that's the probability of choosing a red or blue marble from bag A to begin with.

    • one year ago
  14. Sufiyancs Group Title
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    ok its is but why multiplying

    • one year ago
  15. Sufiyancs Group Title
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    @cwrw238 read and just answer my last comment plz

    • one year ago
  16. Sufiyancs Group Title
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    @jim_thompson5910 read and just answer my last comment plz

    • one year ago
  17. Jemurray3 Group Title
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    If you want the probability that you have event A and also event B, you multiply the respective probabilities.

    • one year ago
  18. Sufiyancs Group Title
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    ohh thanx it was very helpful @Jemurray3

    • one year ago
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