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anonymous

  • one year ago

An urn contains six red balls, six white balls, and six blue balls, and sample of four balls is drawn at random without replacement. Compute the probability that all of the balls in the sample are the same color. (Round your answer to four decimal places.)

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  1. welshfella
    • one year ago
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    basically you need to calculate P(6 red or 6 blue or 6 white)

  2. anonymous
    • one year ago
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    yea pretty much in simpleest form it is what @welshfella said im not gonna go further in depth and get you confused.

  3. anonymous
    • one year ago
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    Could you please bare with me and go further in steps to help me solve this. I was totally lost thats why I am here seeking help. Thank you.

  4. welshfella
    • one year ago
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    to find probability of drawing 4 reds you multiply the probabilities P(red on first draw) = 6/18 = 1/3 then P(red on 2nd draw) = 5/17 do you follow that ok?

  5. welshfella
    • one year ago
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    - then you find probablity of red on third and fourth draw in a similar way

  6. welshfella
    • one year ago
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    now because these draws are independent to find probability of getting 4 reds you multiply them

  7. welshfella
    • one year ago
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    so P( 4 reds) = 1/3 * 5/17 * A * B) where A and B are what you get for draws 3 and 4

  8. welshfella
    • one year ago
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    have you any questions on the above posts?

  9. anonymous
    • one year ago
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    lol well it seems @welshfella has this problem . Hope you understand ;) @amool

  10. anonymous
    • one year ago
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    Thank you so much. I understand much better now.

  11. welshfella
    • one year ago
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    good

  12. anonymous
    • one year ago
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    ok sorry how did you get the 5/17.

  13. welshfella
    • one year ago
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    originally there are 18 balls so after 1 red is taken out there are 5 reds left and a total of 17 balls ( as the balls are not replaced)

  14. welshfella
    • one year ago
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    So for the third draw there are only 4 reds and a total of 16 balls. so P(red on 3rd draw) = 4/16 = 1/4

  15. welshfella
    • one year ago
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    so for 4th draw what is P(red ball)?

  16. anonymous
    • one year ago
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    so it will be 3/15 = 1/5 I think this will be the 4th draw

  17. welshfella
    • one year ago
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    right

  18. anonymous
    • one year ago
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    Thanks for baring with me now I fully know the method thank you.

  19. welshfella
    • one year ago
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    When you have AND involved with probabilities think Multiply red ANd red ANd red AND red so P( 4 reds) = 1/3 * 5/17 * 1/4 * 1/5 which you can convert to a decimal as they want decimals in the answer

  20. anonymous
    • one year ago
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    yeah it is .004902

  21. welshfella
    • one year ago
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    yes Now the probabilities of getting 4 blues and 4 whites is exactly the same both 0.004902

  22. welshfella
    • one year ago
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    Noe here we have an OR involved red OR Blue OR white In this case you ADD the probabilities (OR = ADD) so final answer is the sum of the 3 probabilities

  23. welshfella
    • one year ago
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    so ts 3 * 0.004902

  24. anonymous
    • one year ago
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    got it .014706

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