Question

Jennie and Alex both wanted to get a free ticket for a College Music concert. However, the concert staff told them the tickets were limited. Twenty people wanted to attend the concert but only 10 free tickets were left. So the concert center staff decided to use a lottery to decide who would receive the free tickets. What’s the probability of Jennie and Alex both getting free tickets?

Answer 1

`(1)/(4)`

Explanation:

In probability "AND" means "MULTIPLICATION" and "OR" means "ADDITION".

We want probability of Jennie AND Alex both getting free tickets.

Thus, we need to multiply individual probabilities.

There are total 20 people and 10 tickets, so chances of getting a ticket is 10/20 = 1/2

P(Jennie gets ticket) = 1/2

P(Alex gets ticket) = 1/2

P(Jennie and Alex get ticket) = 1/2 * 1/2 = 1/4 = 0.25