a spinner with the numbers 1 to 10, all equally spaced, is spun twice. what is the probability of landing on two odd number

Question

find the probability.

Answer 1

If there are numbers 1-10 on this spinner, that would mean we have the numbers 1, 3, 5, 7, and 9 as our choices for landing on an Odd number. We have 5/10, numbers to choose from, and if we reduce it means 1/2 of our numbers are odd.

so if we just need an odd number for the spin our probability is 1/2 

 

But, if we need to get an odd number the first AND the second time we must multiply the odds for the first spin (1/2) x the second spin (also 1/2).  1/2 x 1/2 = 1/4