Verified Answer :

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



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!