Question

A teacher surveyed her class to see which flavor of ice cream they wanted for their end-of-year party. The results are shown in the following table.Flavor VotesVanilla 10Chocolate 15Strawberry10If a student from the class is selected at random, find the probability the student voted fora. chocolate b. vanilla c. chocolate or strawberry d. vanilla or chocolate

Answer 1

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.

`\begin{gathered} P=\frac{Desired\text{ possibilities}}{\text{Total number of possibilities}} \\ P=(15)/(35)=(3)/(7) \end{gathered}`

Answer: 3/7

b) The probability that the student voted for vanilla.

`P=(10)/(35)=(2)/(7)`

Answer: 2/7

c) The probability that the student voted for chocolate or strawberry .

`\begin{gathered} P=P(c)+P(s) \\ P=(15)/(35)+(10)/(35) \\ P=(25)/(35) \\ P=(5)/(7) \end{gathered}`

Answer: 5/7

d) The probability that the student voted for vanilla or chocolate .

`\begin{gathered} P=P(v)+P(c) \\ P=(10)/(35)+(15)/(35) \\ P=(25)/(35) \\ P=(5)/(7) \end{gathered}`

Answer: 5/7