The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.
To get the probability of an even number on the first spin and an odd number on
the second spin.
First of all, we will have to obtain the following:
Total outcomes: 3, 7 ,12, 8, 4, 9, 10, 6
Even outcomes: 12, 8, 4, 10, 6
Odd outcome:3, 7, 9
Therefore: The probability that he will have an even number on the first spin will be
[tex]P_{\text{even}}=\frac{Even\text{ outcomes}}{Total\text{ Outcomes}}=\frac{5}{8}[/tex]The probability that he will have an odd number on the first spin will be
[tex]P_{\text{odd}}=\frac{Odd\text{ outcomes}}{Total\text{ Outcomes}}=\frac{3}{8}[/tex]Hence the probability that he will spin an even number on the first spin and an odd number on the second spin will be:
[tex](P_{\text{even}}nP_{\text{odd)}}=\frac{5}{8}\times\frac{3}{8}=\frac{15}{64}[/tex]Answer =15/64