Answer :
Given:
The number of students vote is 10+15+10=35
Number of flavors are 3.
a) The probability that the student voted for chocolates.
Number of possibilities= 15.
[tex]\begin{gathered} P=\frac{Desired\text{ possibilities}}{\text{Total number of possibilities}} \\ P=\frac{15}{35}=\frac{3}{7} \end{gathered}[/tex]Answer: 3/7
b) The probability that the student voted for vanilla.
[tex]P=\frac{10}{35}=\frac{2}{7}[/tex]Answer: 2/7
c) The probability that the student voted for chocolate or strawberry .
[tex]\begin{gathered} P=P(c)+P(s) \\ P=\frac{15}{35}+\frac{10}{35} \\ P=\frac{25}{35} \\ P=\frac{5}{7} \end{gathered}[/tex]Answer: 5/7
d) The probability that the student voted for vanilla or chocolate .
[tex]\begin{gathered} P=P(v)+P(c) \\ P=\frac{10}{35}+\frac{15}{35} \\ P=\frac{25}{35} \\ P=\frac{5}{7} \end{gathered}[/tex]Answer: 5/7