anonymous
  • anonymous
Two dice are thrown simultaneously. Given that sum of the numbers is NOT more than 5, what is the probability that sum is more than 3? 7/10 3/10 5/6 3/4 9/10
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@ganeshie8
ganeshie8
  • ganeshie8
we are given that the sum is NOT more than 5 so this is our sample space how many ways can you get a sum NOT more than 5 ?
ganeshie8
  • ganeshie8
the sum can be 2, 3, 4 or 5, yes ?

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More answers

anonymous
  • anonymous
yes
ganeshie8
  • ganeshie8
how many ways can you get a sum of 2 ?
anonymous
  • anonymous
one way?
ganeshie8
  • ganeshie8
yes, ``` sum = 2 (1 way) ```
ganeshie8
  • ganeshie8
what about the sum of 3, how many ways ?
anonymous
  • anonymous
one way??
ganeshie8
  • ganeshie8
you can have : 1 + 2 or 2 + 1 so two ways right
anonymous
  • anonymous
ohh right, i didn't think you could count both
anonymous
  • anonymous
ways
ganeshie8
  • ganeshie8
ok good, ``` sum = 2 (1 way) sum = 3 (2 way) ```
ganeshie8
  • ganeshie8
what about sum = 4, how many ways ?
anonymous
  • anonymous
3? 2+2, 3+1, 1+3
ganeshie8
  • ganeshie8
Very good : 1 + 3 = 4 2 + 2 = 4 3 + 1 = 4
ganeshie8
  • ganeshie8
so we have ``` sum = 2 (1 way) sum = 3 (2 way) sum = 4 (3 way) ```
ganeshie8
  • ganeshie8
can you guess how many ways there will be for getting a sum of 5 ?
anonymous
  • anonymous
4?
ganeshie8
  • ganeshie8
thats it, we're almost done ``` sum = 2 (1 way) sum = 3 (2 way) sum = 4 (3 way) sum = 5 (4 way) ```
ganeshie8
  • ganeshie8
so how many total ways are there for getting a sum NOT more than 5 ?
anonymous
  • anonymous
3 ways?
anonymous
  • anonymous
oh wait...4?
ganeshie8
  • ganeshie8
nope, just add them up : 1+2+3+4 = ?
anonymous
  • anonymous
10!
ganeshie8
  • ganeshie8
Yes! how many of them have sum more than 3 ?
anonymous
  • anonymous
6?
ganeshie8
  • ganeshie8
how ?
ganeshie8
  • ganeshie8
just look at the table that we have created earlier ``` sum = 2 (1 way) sum = 3 (2 way) sum = 4 (3 way) sum = 5 (4 way) ```
ganeshie8
  • ganeshie8
simply add the number of ways that we can get sum of 4 and 5
anonymous
  • anonymous
2?
ganeshie8
  • ganeshie8
how ?
anonymous
  • anonymous
im sorry! i suck
ganeshie8
  • ganeshie8
sum = 2 (1 way) sum = 3 (2 way) `sum = 4 (3 way)` `sum = 5 (4 way)` add them : 3+4 = 7 ways
ganeshie8
  • ganeshie8
outcomes in favor = 7 total outcomes = 10 probability = ?
anonymous
  • anonymous
right...im so stupid 7/10
ganeshie8
  • ganeshie8
you're not stupid, you're doing great! thest things takes practice
anonymous
  • anonymous
thank you! no wonder you have so many fans! haha
ganeshie8
  • ganeshie8
haha that is because i have been here so long yw :)

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