Question

If a spinner is pointed in front of the digit 6 space and the question is on the spinner what is P(5, and a number greater than 3?

Answer 1

The number of element sample space for the experiment is n(T) = 8.

Determine the probability for the number 5.

`P(5)=(1)/(8)`

The possible number greater than 3 are 4, 5, 6, 7, and 8. So number of possible outcome for greater than 3 are 5.

Determine the probaility for the number greater than 3.

`P\text{ (number greater than 3)=}(5)/(8)`

Both events are independent. So probability for number 5, and greater than 3 is,

`\begin{gathered} P\text{ (5,greater than number 3)=P(5)}\cdot P\text{ (number greater than 3)} \\ =(1)/(8)\cdot(5)/(8) \\ =(5)/(64) \end{gathered}`

Answer: 5/64