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Greeley [361]
3 years ago
8

In Rivertown High School, about 30% of the students buy a raffle ticket. Given that a student buys a raffle ticket, there is a 1

0% chance that the student wins a prize. What is the probability that a randomly selected student will buy a raffle ticket and win a prize?
Mathematics
1 answer:
lesya [120]3 years ago
6 0

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 =  \frac{30}{100}  = \frac{3}{10}

The probability that a student wins a prize = \frac{10}{100} = \frac{1}{10}

The probability that a student who buys the ticket wins a price can be computed by taking the product of the above 2 probabilities.

 = \frac{3}{10} × \frac{1}{10}  = \frac{3}{100} = 0.03

Step 3 :

Answer :

The probability that that a randomly selected student will buy a raffle ticket and win a prize = 0.03

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Step-by-step explanation:

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<em>Alternate solution</em>

The attachment shows a solution using the numerical integration function of a graphing calculator. The area under the curve of function f(x) on the interval [a, 4] is the integral of f(x) on that interval. Perhaps confusingly, we have called that area f(a). As we have seen above, the area is a quadratic function of "a". I find it convenient to use a calculator's functions to solve problems like this where possible.

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Hello,


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