Question 1166035
Write down the sample space.
<pre>
Here's the sample space:<b><font color="black">

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
 
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
 
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6) 
 
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6) 
 
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
 
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)</b>
</pre>
(i) first die shows 5 or sum of the upper faces is more than or equal to 8,<pre>

Count the red ones, that's the numerator of the answer.
Count all of them, red or black, that's the denominator of the answer
<b>
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
 
(2,1) (2,2) (2,3) (2,4) (2,5) <font color="red"><b>(2,6)</b></font>
 
(3,1) (3,2) (3,3) (3,4) <font color="red"><b>(3,5) (3,6)</b></font> 
 
(4,1) (4,2) (4,3) <font color="red"><b>(4,4) (4,5) (4,6)</b></font> 
 
<font color="red"><b>(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)</b></font>
 
(6,1) <font color="red"><b>(6,2) (6,3) (6,4) (6,5) (6,6)</b></font>

</pre>(ii) second die shows 4 or sum of the upper faces is more than 10.<pre>
Count the red ones, that's the numerator.
Count all of them, red or black, that's the denominator.
Reduce the fraction. That's the answer.


(1,1) (1,2) (1,3) <font color="red"><b>(1,4)</b></font> (1,5) (1,6)
 
(2,1) (2,2) (2,3) <font color="red"><b>(2,4)</b></font> (2,5) (2,6)
 
(3,1) (3,2) (3,3) <font color="red"><b>(3,4)</b></font> (3,5) (3,6) 
 
(4,1) (4,2) (4,3) <font color="red"><b>(4,4)</b></font> (4,5) (4,6) 
 
(5,1) (5,2) (5,3) <font color="red"><b>(5,4)</b></font> (5,5) <font color="red"><b>(5,6)</b></font>
 
(6,1) (6,2) (6,3) <font color="red"><b>(6,4) (6,5) (6,6)</b></font>

Edwin</pre></b>