Question

A spinner has 5 different colored spaces (red,blue,green,yellow,and purple,) what is the probability of the spinner landing on blue 2 times in a row? ( give your answer as a percent,don’t forget the % , round to the nearest whole number if necessary)

Answer 1

Step-by-step explanation

We are given the information that a spinner has 5 different colored spaces which are:

• Red

,

• Blue

,

• Green

,

• Yellow

,

• Purple

We are required to determine the probability of the spinner landing on blue 2 times in a row.

The events are equiprobable events, hence they have equal probability of occurrence which is 1/5.

The probability of the spinner landing on blue 2 times in a row is:

`\begin{gathered} P(BB)=P(B)* P(B) \\ =(1)/(5)*(1)/(5)=(1)/(25) \\ Converting\text{ }to\text{ }percentage \\ P(BB)=(1)/(25)*100=4\% \end{gathered}`

Hence, the answer is 4%.