Question

A survey conducted about the colors of shoes that people were wearingg

Answer 1

Given:

Find-: Probability that a randomly selected person was either female or was wearing brown shoes.

Sol:

The probability that the randomly selected person was female.

Total female :

`\begin{gathered} =4+11+16+2 \\ =33 \end{gathered}`

Total = male +female

`\begin{gathered} =31+33 \\ =64 \end{gathered}`

Probability:

`\begin{gathered} P(A)=\frac{\text{Favorable conditions}}{\text{ total conditions}} \\ P(A)=(33)/(64) \end{gathered}`

The probability that a randomly selected person was wearing brown shoes.

Total brown shoes:

`\begin{gathered} =7+11 \\ =18 \end{gathered}`

Total shoes:

`=64`

Probability :

`P(B)=(18)/(64)`

The probability that a randomly selected person was either female or was wearing brown shoes.

`\begin{gathered} P=P(A)+P(B) \\ =(33)/(64)+(18)/(64) \\ =(51)/(64) \\ =0.797 \end{gathered}`

So the probabili