anonymous
  • anonymous
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.)
Discrete Math
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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welshfella
  • welshfella
basically you need to calculate P(6 red or 6 blue or 6 white)
anonymous
  • anonymous
yea pretty much in simpleest form it is what @welshfella said im not gonna go further in depth and get you confused.
anonymous
  • anonymous
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.

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More answers

welshfella
  • welshfella
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?
welshfella
  • welshfella
- then you find probablity of red on third and fourth draw in a similar way
welshfella
  • welshfella
now because these draws are independent to find probability of getting 4 reds you multiply them
welshfella
  • welshfella
so P( 4 reds) = 1/3 * 5/17 * A * B) where A and B are what you get for draws 3 and 4
welshfella
  • welshfella
have you any questions on the above posts?
anonymous
  • anonymous
lol well it seems @welshfella has this problem . Hope you understand ;) @amool
anonymous
  • anonymous
Thank you so much. I understand much better now.
welshfella
  • welshfella
good
anonymous
  • anonymous
ok sorry how did you get the 5/17.
welshfella
  • welshfella
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)
welshfella
  • welshfella
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
welshfella
  • welshfella
so for 4th draw what is P(red ball)?
anonymous
  • anonymous
so it will be 3/15 = 1/5 I think this will be the 4th draw
welshfella
  • welshfella
right
anonymous
  • anonymous
Thanks for baring with me now I fully know the method thank you.
welshfella
  • welshfella
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
anonymous
  • anonymous
yeah it is .004902
welshfella
  • welshfella
yes Now the probabilities of getting 4 blues and 4 whites is exactly the same both 0.004902
welshfella
  • welshfella
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
welshfella
  • welshfella
so ts 3 * 0.004902
anonymous
  • anonymous
got it .014706

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