Question

A bad contains 31 red blocks, 46 green blocks, 23 yellow blocks, and 25 purple blocks. You pick one block from the bag at random. Find the indicated theoretical probability. Pr(green or red) = ______

Answer 1

The probability of the event is given by the formula

`\text{Probability}=\frac{\text{required outcome }}{total\text{ oucome }}`

From the question, we have

`\begin{gathered} \text{Red}=31,\text{green}=46,\text{ yellow=23, Purple=25} \\ \text{Total blocks=31+46+23+25=125} \end{gathered}`

The indicated probability is

`P(\text{green or red )=Pr(gr}een)+Pr(red)`

where

`Pr(\text{green)}=\frac{\text{Number of gre}en}{total\text{ blocks }}=(46)/(125)`

Also, we have

`Pr(\text{red)}=\frac{\text{Number of red }}{total\text{ blocks }}=(31)/(125)`

Hence

`Pr(\text{green or red )=}(31)/(125)+(46)/(125)=(31+46)/(125)=(77)/(125)`

Therefore

The Pr(green or red ) will be 77/125