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Probability Help ( 2 Fair dice)

Can someone explain why the probability of rolling 2 fair dice and getting a Probability of getting total 10 and getting for on green is 3/36?
Original post by TheAdviser101
Can someone explain why the probability of rolling 2 fair dice and getting a Probability of getting total 10 and getting for on green is 3/36?


Where does the green come in to all of this? But imagine it like this. There are trivially two ways of making 1010 and they are 6+4=10and5+5=10 6+4=10 \enspace \text{and} \enspace 5+5=10 .

Now on a fair dice the probability of getting any one number is 16\frac{1}{6}.
10 can be made in the following ways:
6+4=10
4+6=10
5+5=10
Each way has probability 16×16=136\frac{1}{6}\times\frac{1}{6}= \frac{1}{36}
And as there are three potential ways of doing this the total probability of getting a 10 is 336 \frac{3}{36}
Original post by Cryptokyo
Where does the green come in to all of this? But imagine it like this. There are trivially two ways of making 1010 and they are 6+4=10and5+5=10 6+4=10 \enspace \text{and} \enspace 5+5=10 .

Now on a fair dice the probability of getting any one number is 16\frac{1}{6}.
10 can be made in the following ways:
6+4=10
4+6=10
5+5=10
Each way has probability 16×16=136\frac{1}{6}\times\frac{1}{6}= \frac{1}{36}
And as there are three potetial ways of doing this the total probability of getting a 10 is 336 \frac{3}{36}


There are 2 dices green and red. Sorry, its my fault I haven't worded the question out properly. I am confused about the part in the screenshot below. I don't see how the probability becomes 3/36
Picture1.png
(edited 7 years ago)
Original post by TheAdviser101
There are 2 dices green and red. Sorry, its my fault I haven't worded the question out properly. I am confused about the part in the screenshot below. I don't see how the probability becomes 3/36
Picture1.png


I believe their answer is incorrect as the condition is P(total 10 and 4 on green) would yield a probability of 16×16=136\frac{1}{6}\times\frac{1}{6}= \frac{1}{36} as the events are independent. And 6 is the only number that can give a total of ten. This would imply the equation should be:
16×1616=16\frac{\frac{1}{6}\times\frac{1}{6}}{\frac{1}{6}}=\frac{1}{6}

I believe it should be 136\frac{1}{36} and not 336\frac{3}{36} in the equation.

Could you send me a link to the document so I can double check this though.
(edited 7 years ago)

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