anonymous
  • anonymous
A box has 60 balls, of which 26 are red, 16 are blue, and 18 are yellow. Balls are extracted at random then returned to the box. What is the probability that after performing this test three times exactly two are red and one is yellow?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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welshfella
  • welshfella
a tree diagram would help with this one
anonymous
  • anonymous
ok
mathmath333
  • mathmath333
is answer \(\dfrac{169}{1125}\)

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More answers

anonymous
  • anonymous
i dont how u got that answer im just thinking about the tree @welshfella said
mathmath333
  • mathmath333
i mean is the answer already given in book
welshfella
  • welshfella
its hard to draw a tree diagram with 3 draws!!! lol
anonymous
  • anonymous
perhaps u can attaches as a image file lol
welshfella
  • welshfella
possible scenarios are R R Y R Y R Y R R probability of each of these is 26/60 * 26/60 * 18 / 60 work this out then multiply it by 3
anonymous
  • anonymous
121168/180
welshfella
  • welshfella
you have made a mistake somewhere
anonymous
  • anonymous
i see
anonymous
  • anonymous
12168/216000
anonymous
  • anonymous
169/3000
welshfella
  • welshfella
26/60 * 26/60 * 18 / 60 = 13/30 * 13/30 * 3/10 = 507 / 9000
welshfella
  • welshfella
= 169/1000 yes
welshfella
  • welshfella
now you need to multiply that by 3 because of the 3 different arrangements of the balls)
anonymous
  • anonymous
169/1000 or 169/3000?
welshfella
  • welshfella
sorry its |dw:1444498605068:dw|
anonymous
  • anonymous
507/3000
welshfella
  • welshfella
169/3000 was correct for each of th 3 scenarios - now you need to multiply that by 3
welshfella
  • welshfella
507/3000 is correct but that simplifies to 169/1000
anonymous
  • anonymous
mistake sorry 169/1000, forget to cancelled out the 3
welshfella
  • welshfella
yea that is it
anonymous
  • anonymous
that the final answer ?
welshfella
  • welshfella
yes
anonymous
  • anonymous
ok thank you so much for the help
welshfella
  • welshfella
yw

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