F.Y.I when addressing problem regarding probability take note that probability cannot be smaller than zero or greater than 1. Therefore your answer 2.68 is not correct.
You have to use the (Discrete) Binomial random variable to address the problem mentioned.
Formula : P( X = x ) = ( n C x )(p)^x(1-p)^n-x
substitute these figures into the formula above and you will be able to derive the answer
n =150,000, x = 14,p=0.4