Two dice are thrown. If one shows a three, what is the probability that the total is less than 7
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OpenStudy (crashonce):
@MARC_ @ganeshie8
OpenStudy (anonymous):
the chances of getting less than 7 for the second dice is 1,2 and 3 @CrashOnce
OpenStudy (anonymous):
there are how many numbers in a dice? @CrashOnce
OpenStudy (anonymous):
it's 6 @CrashOnce
OpenStudy (anonymous):
so the chances of getting less than 7 have 3 numbers which is 1,2 and 3 @CrashOnce
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OpenStudy (anonymous):
\[=\frac{ 3 }{ 6 }\]
\[=?\]
solve it @CrashOnce
OpenStudy (crashonce):
the answer options are: 1/6, 1/12, 5/11, 7/11, 5/36
Directrix (directrix):
Let's think about this.
Directrix (directrix):
Dice Toss Outcomes
OpenStudy (crashonce):
5/11
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OpenStudy (crashonce):
thaks
Directrix (directrix):
Look at this
OpenStudy (anonymous):
so it's 5/36
Directrix (directrix):
36 possibilities for outcomes, 5 have a 3 and another die totally less than 7.
OpenStudy (mathmath333):
count the number of outcomes which are less than 7 total
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Directrix (directrix):
I agree @MARC_
OpenStudy (mathmath333):
so is it \(5/11\)
Directrix (directrix):
How are you figuring that @mathmath333
OpenStudy (mathmath333):
oh i see the first dice is given 3 already
Directrix (directrix):
If this is conditional probability, your answer may be correct. Let me re-read the problem.
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OpenStudy (mathmath333):
yes its \(5/36\)
OpenStudy (anonymous):
thnx @Directrix
Directrix (directrix):
I'll stick with the 5/36 because at the outset, the dice were first thrown which gave 6*6 outcomes. AFTER that, we were told about the three turning up and so on.