Question

Of the 14 clients at Bob's salon, 7 of them have red hair. What is the probability that a randomly selected client at Bob's salon has red hair? P(red) =

Answer 1

`\mathsf{Probability \ of \ an \ event \ occurring = (Number \ of \ ways \ it \ can \ occur)/(Total \ number \ of \ outcomes)}`

Given:

• Total number of outcomes = total number of clients = 14
• Number of ways it can occur = number of clients with red hair = 7

`\implies \mathsf{Probability \ of \ red\ hair= (7)/(14)=\frac12=0.5}`

Answer 2

• |S|=14
• |E|=7

Now

`\\ \rm\Rrightarrow P(E)=(|E|)/(|S|)`

`\\ \rm\Rrightarrow P(E)=(7)/(14)=1/2`