Question

Jason and Kyle both choose a number from 1-10 at random what is the probability that both numbers are odd

Answer 1

1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

There are 5 odd numbers from 1 to 10.

So, the probability of choosing a odd number is going to be 

$\frac{5}{10}$

$\frac{1}{2}$

So, the probability for one person is 0.5

And the same goes for the other person. So, you multiply 0.5 by itself. So the probability is going to be (0.5*0.5) = 0.25

Answer 2

Jason:
$\frac{odd}{total} \\ = \frac{5}{10} \\ = \frac{1}{2}$
Kyle:
$\frac{odd}{total} \\ = \frac{5}{10} \\ = \frac{1}{2}$

Now, multiply the two probabilities together:
$\frac{1}{2} * \frac{1}{2} \\ \frac{1*1}{2*2} \\ \frac{1}{4}$

The answer is 1/4, or .25

Hope this helps!