Question

There are 36 tickets sold for a raffle for the Student Art Auction, and there are two prizes to be awarded. Dionte buys two tickets, find the probability that he will win both pris(Round your answers to five decimal places.)

Answer 1

Given :

There are 36 tickets sold for a raffle for the Student Art Auction, and there are two prizes to be awarded.

Dionte buys two tickets.

To Find :

The probability that he will win both price.

Solution :

Number of prizes available, p = 2

Probability of getting price from first draw :

$P_1=\dfrac{2}{36}\\\\P_1=\dfrac{1}{18}$

Probability of getting price from second draw if he won first prize :

$P_2=\dfrac{2-1}{36-1}\\\\P_2=\dfrac{1}{35}$

So, probability of winning both prize :

$P=P_1\times P_2\\\\P=\dfrac{2}{36}\times \dfrac{1}{35}\\\\P=0.00159$

Therefore, probability of winning both prize is 0.00159 .

Hence, this is the required solution.