Question

Sally has a bag of marbles. She chose a marble, recorded the color, and placed it back into the bag. She did this50 times. The table shows the results.ColorNumberPink124WhiteBlue15Purple9Green10Using the experimental probability that can be found in the table, if Sally was to repeat this experiment 600times, how many times can she expect to choose a blue marble?

Answer 1

Given an experimental probability sample of marble with different colours

Given the probability of an event formula as

`P(x)=(n(x))/(n(T))`

The probability that Sally will choose blue once will be

`\begin{gathered} P(B)=(n(B))/(n(T)) \\ \text{Where } \\ n(B)=15,n(T)=50 \end{gathered}`
`P(B)=(15)/(50)=(3)/(10)`

Thus, the number of times Sally choosing blue if the experiment was repeated 600 times will be

`\begin{gathered} P(B)*600 \\ \Rightarrow(3)/(10)*600 \\ \Rightarrow(1800)/(10)=180 \end{gathered}`

Hence, the number of times she expects to choose a blue marble is 180 times