About 5% of the population is math phobic. If two people are randomly selected, what is the probability that atleast one is math phobic?

Question

About 5% of the population is math phobic.  If two people are randomly selected, what is the probability that atleast one is math phobic?

anonymous · Answer

The easiest way to do this problem is to look at the probability that NEITHER is math phobic, and then subtract this probability from 1 to get its compliment.  

The probability that one is not math phobic is 0.95
1-0.95*0.95

anonymous · Answer

"at least one" is a set up for computing "none" and then subtracting from one

anonymous · Answer

so I thought the answer would be 1 then?

anonymous · Answer

oh no!

anonymous · Answer

probability 1 means a sure thing

anonymous · Answer

ooo

anonymous · Answer

jabberwock (that slithy gimbler) gave the answer.  compute the probability that they both are not, then subtract from 1

anonymous · Answer

it actually said that his answer was wrong, I think that we were supposed to round

anonymous · Answer

Well, you actually have to do the 1-(0.95)(0.95).  That gives 9.75%