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nuccioreggie

  • one year ago

A chef draws cookies randomly from a box containing 6 cookies of the same shape and size. There is 1 chocolate cookie, 3 almond cookies, and 2 butter cookies. He draws 1 cookie and then draws another cookie without replacing the first one. Find the probability of picking 1 almond cookie followed by another almond cookie, and show the equation used. Please EXPLAIN THE ANSWER

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  1. nuccioreggie
    • one year ago
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    @ganeshie8

  2. nuccioreggie
    • one year ago
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    @Loser66

  3. nuccioreggie
    • one year ago
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    @Mehek14

  4. nuccioreggie
    • one year ago
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    @midhun.madhu1987

  5. Mehek14
    • one year ago
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    ok first time 3 almond cookies and 6 total

  6. Mehek14
    • one year ago
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    so \(\dfrac{3}{6}=\dfrac{1}{2}\)

  7. nuccioreggie
    • one year ago
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    Thank you for coming to help me @Mehek14. (:

  8. Mehek14
    • one year ago
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    next you don't replace it that means there are only 2 almond cookies left and 5 cookies in total

  9. Mehek14
    • one year ago
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    that means \(\dfrac{2}{5}\)

  10. Mehek14
    • one year ago
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    so multiply both of them \(\dfrac{1}{2}*\dfrac{2}{5}\)

  11. nuccioreggie
    • one year ago
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    Ok can you explain the answer all together please so i will understand better @Mehek14

  12. Mehek14
    • one year ago
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    sure

  13. nuccioreggie
    • one year ago
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    Ok ty

  14. Mehek14
    • one year ago
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    when you choose the almond cookie for the first time, there are 3 almond cookies and 6 cookies in total so the probability of getting an almond cookie is \(\dfrac{3}{6}\) which can be simplified to \(\dfrac{1}{2}\). when you don't put the almond cookie back, there will be only 2 almond cookies in the box and the total will be one less so the total is 5 and the probability is \(\dfrac{2}{5}\) to find your answer, you have to multiply \(\dfrac{1}{2}*\dfrac{2}{5}\)

  15. nuccioreggie
    • one year ago
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    Ok then when i multiply that i get my answer?

  16. Mehek14
    • one year ago
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    \(\dfrac{2}{10}=\dfrac{1}{5}\)

  17. nuccioreggie
    • one year ago
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    @Mehek14. Ok im confused whats the last two fraction for i thought u said i have to muliply those fractions to get me final answer

  18. Mehek14
    • one year ago
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    yes 1*2 = 2 2 * 5 = 10 \(\dfrac{2}{10}\)

  19. Mehek14
    • one year ago
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    simplify to 1/5

  20. nuccioreggie
    • one year ago
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    And 2/10 is the final answer @Mehek14

  21. Mehek14
    • one year ago
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    simplified to 1/5

  22. Mehek14
    • one year ago
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    so 1/5 is the answer

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