SOLUTION: Five reviewees A, B, C, D, and E went to go to a concert, but they only have three tickets. They decided to select randomly who will go. What is the probability that A will be sele

Algebra ->  Probability-and-statistics -> SOLUTION: Five reviewees A, B, C, D, and E went to go to a concert, but they only have three tickets. They decided to select randomly who will go. What is the probability that A will be sele      Log On


   

Question 726912: Five reviewees A, B, C, D, and E went to go to a concert, but they only have three tickets. They decided to select randomly who will go. What is the probability that A will be selected?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
A is locked in. So there are 2 slots/tickets left and 4 people left to fill them.

So there are 4 C 2 = (4!)/(2!*(4-2)!) = (24)/(2*2) = 6 ways to do this.

This means that there are 1*(4 C 2) = 6 ways to select 3 people where A is one of those people.

This is out of 5 C 3 = (5!)/(3!*(5-3)!) = 10 ways to select 3 people (out of 5)

So the probability is 6/10 = 3/5



The answer as a fraction is 3/5

The answer as a decimal is 0.6

The answer as a percent is 60%