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
I hope this helps you
