anonymous
  • anonymous
consider rolling two dice.what is the probability that the sum is odd given that one dice shows a 3?
Mathematics
jamiebookeater
  • jamiebookeater
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julie
  • julie
well, you could brute force this
julie
  • julie
so assuming it's a six sided dice...
julie
  • julie
there are six possibilities for the other die

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julie
  • julie
3+1 = 4 [even] 3+2 = 5 [odd] 3+ 3 = 6 [even] 3+ 4 = 7 [odd] 3 + 5 = 8 [even] 3 + 6 = 9 [odd]
julie
  • julie
so you know the roll of one of the dice is a three
julie
  • julie
looks to me there are 3 options that get you odd, 3 that give you even
julie
  • julie
in sum
julie
  • julie
(so 3/6 possibilities for the second die to make an odd number) = 50%
anonymous
  • anonymous
ohhhhh ok i get it
julie
  • julie
that's generally how these work - you want to consider / - especially given all possibilities are equally likely e.g. a fair die
anonymous
  • anonymous
oh wow i wish my teacher would have put it that way
julie
  • julie
good to hear, good luck!
anonymous
  • anonymous
thanks goin

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