Mathematics
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OpenStudy (pulsified333):
Two fair die are rolled. What is the probability of one of the dice showing 5 or the sum being at least 8?
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OpenStudy (pulsified333):
well I know the sum of 8's probability is 5/36
OpenStudy (pulsified333):
right so wouldn't it be 1/6?
OpenStudy (anonymous):
+ the probability of at least 8
OpenStudy (pulsified333):
so would it be 6/36?
OpenStudy (pulsified333):
you mean 2/36?
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OpenStudy (pulsified333):
so the answer would be 7/36?
OpenStudy (anonymous):
sorry can you forget about what I just said?
OpenStudy (pulsified333):
yeah
OpenStudy (pulsified333):
why?
OpenStudy (anonymous):
for at least one to be a 5 would be 11/36
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OpenStudy (anonymous):
(for each dice)( 1/6 + 1/6) - 1/36 (because there's a double) = 11/36
OpenStudy (pulsified333):
so the answer is 11/36?
OpenStudy (anonymous):
+ at least 8
OpenStudy (pulsified333):
so 11/36+16/36
OpenStudy (anonymous):
- the mutual part
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OpenStudy (pulsified333):
-1?
OpenStudy (pulsified333):
13/18?
OpenStudy (anonymous):
-6/36
OpenStudy (anonymous):
21/36
OpenStudy (pulsified333):
why -6/36
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OpenStudy (anonymous):
because (5,1)(5,2)(5,3)(3,5)(2,5)(1,5) are included in both probabilities.
OpenStudy (pulsified333):
oh let me check
OpenStudy (anonymous):
I hope that's right.
OpenStudy (pulsified333):
would it be 7/12? simplified
OpenStudy (anonymous):
yes
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OpenStudy (pulsified333):
I did it backwards the sum of being at least 8 would be 17/36
OpenStudy (pulsified333):
my bad i didn't see the at least 8
OpenStudy (anonymous):
ooh so otherwise would it be right?
OpenStudy (pulsified333):
I think but it would be 22/36= 11/18
OpenStudy (anonymous):
ok ok :)
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OpenStudy (pulsified333):
it says not correct
OpenStudy (anonymous):
:(
OpenStudy (anonymous):
isn't at least 8 = 15/36?
OpenStudy (pulsified333):
how?
OpenStudy (pulsified333):
8=5/36, 9=6/36, 10= 3/36, 11=2/36, 12=1/36
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OpenStudy (anonymous):
9 has 4 combinations
OpenStudy (pulsified333):
your right
OpenStudy (pulsified333):
26/36
OpenStudy (anonymous):
15/36 + 11/36 - 6/36 = 20/36
OpenStudy (pulsified333):
5/9?
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OpenStudy (anonymous):
wait wait...
OpenStudy (pulsified333):
ok
OpenStudy (anonymous):
yes I think 5/9.
OpenStudy (pulsified333):
I don't get this it says its wrong
OpenStudy (anonymous):
:o is this an online thing?
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OpenStudy (pulsified333):
yeah
OpenStudy (anonymous):
ok try 26/36 then
OpenStudy (pulsified333):
i only have 2 more attempts
OpenStudy (anonymous):
:( I don't get it the events are not mutually excessive so it should be 20/36
but if the test writer is dumb it might be 26/36...
OpenStudy (anonymous):
I'm sorry I'm dumb too probably.