Pulsified333
  • Pulsified333
Two Fair die are rolled. What is the probability of one of the dice showing 5 or the sum being at least 8?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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random231
  • random231
write down the cases in which the sum can be 8 with one of them being 5
Pulsified333
  • Pulsified333
okay should I include (5,3) and (3,5)
Pulsified333
  • Pulsified333
or no repeats

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random231
  • random231
you include both
Pulsified333
  • Pulsified333
okay I did that
random231
  • random231
arent you getting the answer?
Pulsified333
  • Pulsified333
it says a sum of at least 8
random231
  • random231
oops yeah so inluse(5,4) (4,5), (5,5) (5,6)(6,5)
Pulsified333
  • Pulsified333
okay I did that and there are a total 15 ways to make a sum of at least 8
kropot72
  • kropot72
"okay I did that and there are a total 15 ways to make a sum of at least 8" That is correct. It is necessary to avoid double counting, therefore the next step is to find out how many occurrences of 5 there are on one of the dice where the sum of the numbers on the pair is less than 8.
Pulsified333
  • Pulsified333
There are two, but does (5,5) count or no because its on two die?
kropot72
  • kropot72
There are more than two. Also (5, 5) does not count because it is already in the total of the 15 ways to make at least 8.
Pulsified333
  • Pulsified333
are there four?
kropot72
  • kropot72
Yes, four: (2, 5) (1, 5) (5,2) (5,1).
Pulsified333
  • Pulsified333
okay, so now what?
kropot72
  • kropot72
So the total number of ways to get one of the dice showing 5 or the sum being at least 8 (without double counting) is 15 + 4 = 19 ways. What is the value of the sample space?
Pulsified333
  • Pulsified333
what do you mean the value of the sample space?
kropot72
  • kropot72
The sample space has 36 possible combinations of numbers.
Pulsified333
  • Pulsified333
oh okay. Now i know what you mean
Pulsified333
  • Pulsified333
so its 19/36?
kropot72
  • kropot72
Yes, you are correct.
Pulsified333
  • Pulsified333
OMG thank you so much, I've been stuck on that problem for over an hour :D. You are a lifesaver xD
kropot72
  • kropot72
You're welcome :)

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