Question

Fifty tickets are sold for a raffle. You buy 5 tickets, and your friend buys 3 tickets. One ticket is randomly chosen as the winning ticket. What is the probability that you or your friend wins the raffle?

Answer 1

Let:

A = You win the raffle

B = Your friend win the raffle

N = Total number of tickets

a = Number of tickets you bought

b = Number of tickets your friend bought

so:

`\begin{gathered} P(A)=(a)/(N)=(5)/(50)=(1)/(10)=0.1 \\ P(B)=(b)/(N)=(3)/(50)=0.06 \\ so\colon \\ P(A\cup B)=P(A)+P(B) \\ P(A\cup B)=0.1+0.06=0.16 \end{gathered}`

Answer:

16%