A family has five members--a mom, a dad, two sisters, and a brother.The family lines up single file. What is the probability that the mom is at the front of the line?
To find the probability that the mom is at the front of the line:
[tex] \frac{number \: of \: favorable \: outcomes}{total \: outcomes} \\ = \frac{number \: of \: ways \: where \: mum \: is \: at \: the \: front \: of \: the \: line}{total \: number \: of \: ways} \\ = \frac{1c1 ×4! }{5!} \\ = \frac{24}{120} \\ = \frac{1}{5} [/tex] Therefore the answer is 1/5.
