Question 1008795
<pre>
We make this chart:

       | MALE |FEMALE|TOTALS|
----------------------------|
YES    |      |      |      |
----------------------------|
NO     |      |      |      |
----------------------------|
TOTALS |      |      |      |
-----------------------------
</pre>
>>Of the 58 people who answered "yes" to a question, 10 were male. 
<pre>
So we put 58 in the TOTALS column of the YES, and 10 in the MALE
column of the YES row:

       | MALE |FEMALE|TOTALS|
----------------------------|
YES    |  10  |      |  58  |
----------------------------|
NO     |      |      |      |
----------------------------|
TOTALS |      |      |      |
-----------------------------
</pre>
Of the 95 people that answered "no" to the question, 6 were male. 
<pre>
So we put 95 in the TOTALS column of the NO row, and 6 in the MALE
column of the NO row:

       | MALE |FEMALE|TOTALS|
----------------------------|
YES    |  10  |      |  58  |
----------------------------|
NO     |   6  |      |  95  |
----------------------------|
TOTALS |      |      |      |
-----------------------------

Next we fill in the bottom right corner, the TOTALS row and the
TOTALS column by adding 58+95, getting 153:

       | MALE |FEMALE|TOTALS|
----------------------------|
YES    |  10  |      |  58  |
----------------------------|
NO     |   6  |      |  95  |
----------------------------|
TOTALS |      |      | 153  |
-----------------------------

Next we fill in the TOTAL MALES by adding 10+6, getting 16

       | MALE |FEMALE|TOTALS|
----------------------------|
YES    |  10  |      |  58  |
----------------------------|
NO     |   6  |      |  95  |
----------------------------|
TOTALS |  16  |      | 153  |
-----------------------------

Next we fill in the FEMALES who said YES by subtracting 58-10=48,

       | MALE |FEMALE|TOTALS|
----------------------------|
YES    |  10  |  48  |  58  |
----------------------------|
NO     |   6  |      |  95  |
----------------------------|
TOTALS |  16  |      | 153  |
-----------------------------

Next we fill in the FEMALES who said NO by subtracting 95-6=89,

       | MALE |FEMALE|TOTALS|
----------------------------|
YES    |  10  |  48  |  58  |
----------------------------|
NO     |   6  |  89  |  95  |
----------------------------|
TOTALS |  16  | 137  | 153  |
-----------------------------

Now we fill in the TOTAL FEMALES two ways, 
(1) by adding 48+89=137, and also, as a check,
by subtracting 153-16=137. 
</pre>
If one person is selected at random from the group, what is the 
probability that the person answered "yes" or was male?
<pre>
The numerator is the number who said YES or was MALE.
The ones that fit at least one of those categories are colored red:

       | MALE |FEMALE|TOTALS|
----------------------------|
YES    |  <font color="red"><b>10</font></b>  |  <font color="red"><b>48</font></b>  |  58  |
----------------------------|
NO     |  <font color="red"><b> 6</font></b>  |  89  |  95  |
----------------------------|
TOTALS |  16  | 137  | 153  |
-----------------------------

We add the red numbers: 10+48+6 = 64.  That's how many either
said YES or were MALE.

So the probability is 64 out of the total 153 in the lower right
corner, 153, so the desired probability is 64/153.

Edwin</pre>