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

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:

$\begin{gathered} P(BB)=P(B)\times P(B) \\ =\frac{1}{5}\times\frac{1}{5}=\frac{1}{25} \\ Converting\text{ }to\text{ }percentage \\ P(BB)=\frac{1}{25}\times100=4\% \end{gathered}$

Hence, the answer is 4%.