Question

How do i do this i have tried an cant do it

Answer 1

Given that the box contains 95 pink rubber bands and 90 brown rubber bands, you can determine the total number of rubber bands the box contains is:

`95+90=185`

a. By definition, Theoretical Probability is equal to the number of favorable outcomes divided by the total number of possible outcomes.

In this case, you need to find the Theoretical Probability of selecting a pink rubber band from the box. Therefore:

`P(pink)=(95)/(185)=(19)/(37)`

b. Knowing the number of brown rubber bands in the box, you can find the Theoretical Probability of selecting a brown rubber band:

`P(brown)=(90)/(185)=(18)/(37)`

c. By definition, Experimental Probability is equal to the number of times the event occurs divided by the total number of trials.

Based on the table, you can identify that the total number of trials is:

`NumberOfTrials=36+33=69`

Knowing the number of times the event of selecting a pink rubber occurs, you get that the Experimental Probability of this color is:

`P(pink)=(36)/(69)=(12)/(23)`

Using the same reasoning for brown rubbers:

`P(brown)=(33)/(69)=(11)/(23)`

Hence, the answers are:

a.

`P(pink)=(19)/(37)`

b.

`P(brown)=(18)/(37)`

c.

`\begin{gathered} P(pink)=(12)/(23) \\ \\ P(brown)=(11)/(23) \end{gathered}`