SOLUTION: About 16% of the population is math phobic. If two people are randomly selected what is the probability, both are math phobic? What is the probability that at least one is math p

Algebra ->  Probability-and-statistics -> SOLUTION: About 16% of the population is math phobic. If two people are randomly selected what is the probability, both are math phobic? What is the probability that at least one is math p      Log On


   

Question 471171: About 16% of the population is math phobic. If two people are randomly selected what is the probability, both are math phobic? What is the probability that at least one is math phobic?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Note: The probability of x successes in n trials is: 

P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively. 

In this case p(phobic) = .16 & q = .84 and  n = 2

nCx = n%21%2F%28x%21%28n-x%29%21%29

 P(both phobic) = (.16)^2 = .0256

 P(at least one phobic) = 1 -P(none) = 1 -(.84)^2 = 1 - .7056 = .2944