The probability that that a randomly selected student will buy a raffle ticket and win a prize = 0.03
Step-by-step explanation:
Step 1 :
Given,
The percentage of students buying the raffle ticket = 30%
The percentage that the student who bought the ticket wins the prize = 10%
We need to determined the probability that randomly selected student will buy a raffle ticket and win a prize.
Step 2 :
The probability that a student buys the raffle ticket = [tex]\frac{30}{100} = \frac{3}{10}[/tex]
The probability that a student wins a prize = [tex]\frac{10}{100}[/tex] = [tex]\frac{1}{10}[/tex]
The probability that a student who buys the ticket wins a price can be computed by taking the product of the above 2 probabilities.
= [tex]\frac{3}{10}[/tex] × [tex]\frac{1}{10}[/tex] = [tex]\frac{3}{100}[/tex] = 0.03
Step 3 :
Answer :
The probability that that a randomly selected student will buy a raffle ticket and win a prize = 0.03