Answered

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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.

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 Do class=

Sagot :

0.308

Explanation

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

[tex]P(A)=\frac{favorable\text{ outcomes }}{total\text{ outcomes}}[/tex]

so

Step 1

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

a) Let

[tex]favorable\text{ outcome=}8[/tex]

and , the total outcome is the total ticket,so

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

b) now, replace in the formula:

[tex]\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}[/tex]

therefore,the answer is 0.308

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