Jason and kyle both choose a number from 1 to 10 at random. what is the probability that both numbers are odd?

All numbers 1-10 are equally likely to be chosen.  Of these 10 numbers, 5 are odd.  Thus, the chances that an odd number will be chosen by either boy is 0.5.  The chances that both boys will pick an odd number is 0.5*0.5 = 0.25.