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Allisa [31]
1 year ago
15

Four people buy raffle tickets and place all of their tickets into a hat. Raphael bought 8 tickets, Leonardo bought 2 tickets, M

ichelangelo bought 5 tickets, and Donatello bought 11 tickets. If a person randomly selects one raffle ticket from the hat, what is the probability that Raphael purchased the ticket? Write your answer as a decimal and round three decimal places.

Mathematics
1 answer:
Airida [17]1 year ago
4 0

0.308

Explanation

The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible,so

P(A)=\frac{favorable\text{ outcomes }}{total\text{ outcomes}}

so

Step 1

favourable outcome is the result that is desired, so as the result is a that Raphael purchase the ticket

a) Let

favorable\text{ outcome=}8

and , the total outcome is the total ticket,so

\begin{gathered} total\text{ outcome=Raphael+Leonardo+Michelangelo+Donatello} \\ total\text{ outcome=8+2+5+11=26} \end{gathered}

b) now, replace in the formula:

\begin{gathered} P(A)=\frac{favorable\text{ outcomes }}{total\text{ outcomes}} \\ P(A)=\frac{8}{26} \\ P(A)=0.3076923 \\ rounded \\ P(A)=0.308 \end{gathered}

therefore,the answer is 0.308

I hope this helps you

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