Answer:
[tex]Probability = \frac{1}{64}[/tex]
Step-by-step explanation:
The sample space of the spinner is:
[tex]Sample\ Space = \{1,2,3,4,5,6,7,8\}[/tex]
So:
[tex]n(S)= 8[/tex]
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:
[tex]P(1)= n(1)/n(S)[/tex]
[tex]P(1)= 1/8[/tex]
The probability of the second being 2 is:
[tex]P(2)= n(2)/n(S)[/tex]
[tex]P(2)= 1/8[/tex]
So, the required probability is:
[tex]Probability = P(1) * P(2)[/tex]
[tex]Probability =1/8* 1/8[/tex]
[tex]Probability = \frac{1}{64}[/tex]
