Question

You spin the spinner twice what is the probability of landing on a number greater than 3 and then landing on a number less than 5

Answer 1

Given:

You will spin the spinner twice in which there are 4 boxes with numbered

`2,\text{ }3,\text{ }4,\text{ and }5.`

Required:

We have to find the probability of landing on a number greater than 3 and then landing on a number less than 5 in percentage.

Step-by-step explanation:

There are two possibilities of landing on a number greater than 3 which are 4 and 5.

The total number of possibilities when spinning the spinner is 4.

Hence the probability of landing on a number greater than 3 is

`(2)/(4)=(1)/(2)`

Since the events are independent. The possibility of landing a number less than 5 the second time is 2, 3, and 4.

Hence the probability of landing on a number less than 5 is

`(3)/(4)`

Therefore the required probability of landing on a number greater than 3 and then landing on a number less than 5 is

`(1)/(2)*(3)/(4)=(3)/(8)`

Hence the required percentage is

`(3)/(8)*100=37.5\%`

Final answer:

Hence the final answer is

`\begin{equation*} 37.5\% \end{equation*}`