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anonymous

  • one year ago

A bag has 1 red marble, 4 blue marbles, and 3 green marbles. Peter draws a marble randomly from the bag, replaces it, and then draws another marble randomly. What is the probability of drawing 2 blue marbles in a row? Explain your answer.

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  1. misty1212
    • one year ago
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    HI!!

  2. misty1212
    • one year ago
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    you got a clue or you want to go real slow?

  3. anonymous
    • one year ago
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    hi again lol

  4. anonymous
    • one year ago
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    I kinda have a clue but im not sure

  5. misty1212
    • one year ago
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    ok so lets take it step by step how many marbles are in the bag total?

  6. anonymous
    • one year ago
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    8

  7. misty1212
    • one year ago
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    ok and how many are blue?

  8. anonymous
    • one year ago
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    4

  9. misty1212
    • one year ago
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    ok good, so what is the probability that the first one selected is blue?

  10. anonymous
    • one year ago
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    ummm

  11. anonymous
    • one year ago
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    4/8?

  12. misty1212
    • one year ago
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    make a guess, if you are wrong i will tell you

  13. misty1212
    • one year ago
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    yeah \[\frac{4}{8}\] except that you really want to say \(\frac{1}{2}\) same thing

  14. anonymous
    • one year ago
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    oh ok

  15. misty1212
    • one year ago
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    now you put the marble back (it says that) so you still have 4 blue marbles in the bag and 8 total

  16. anonymous
    • one year ago
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    oh so it would be 1/2 again?

  17. misty1212
    • one year ago
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    yes and for them both to happen, blue and then blue again, the probability is the product of those two

  18. misty1212
    • one year ago
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    i.e. \[\frac{1}{2}\times \frac{1}{2}\]

  19. misty1212
    • one year ago
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    hope that is more or less clear

  20. anonymous
    • one year ago
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    Yeah makes sense

  21. misty1212
    • one year ago
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    k good

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