Question

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

Answer 1

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