Question

You spin a spinner numbered from 1 to 8 twice​. Find the probability of getting a 1 on the first spin and a 2 on the second spin.

Answer 1

`Probability = (1)/(64)`

Explanation:

The sample space of the spinner is:

`Sample\ Space = \{1,2,3,4,5,6,7,8\}`

So:

`n(S)= 8`

All of which have the same probability.

Required

Determine the probability of 1, then 2 when spin twice

The probability of the first being 1 is:

`P(1)= n(1)/n(S)`

`P(1)= 1/8`

The probability of the second being 2 is:

`P(2)= n(2)/n(S)`

`P(2)= 1/8`

So, the required probability is:

`Probability = P(1) * P(2)`

`Probability =1/8* 1/8`

`Probability = (1)/(64)`