Question

Michiko has one quiz each week in social studies class. The table gives the probability of having a quiz on eachday of the week. What is the probability that Michiko will not have a quiz on Wednesday? Express your answeras a percent.

Answer 1

Given:

From the table, the probability that Michiko will hava a quiz on Wednesday is 0.070.

This is the probability of success.

Hence, the probability that Michiko will not have a quiz on Wednesday is the probability of failure.

Thus,

`\begin{gathered} p+q=1 \\ \text{where;} \\ p\text{ is the probability of success} \\ q\text{ is the probability of failure} \\ \\ p=0.070 \\ q=\text{?} \end{gathered}`

`\begin{gathered} p+q=1 \\ q=1-p \\ q=1-0.070 \\ q=0.93 \end{gathered}`

Hence, the probability of failure (the probability that Michiko will not have a quiz on Wednesday is 0.93.

As a percent,

`\begin{gathered} q=0.93*100 \\ q=93\text{ \%} \end{gathered}`

Therefore, the probability that Michiko will not have a quiz on Wednesday is 93%