The probability of an event is the number of favourable outcomes over the total possible outcomes. In formula, we have:
[tex]P(E)=\frac{total\text{ no. of favourable outcomes}}{\text{total number of possible outcomes}}[/tex]
where E is the event.
In this question, our event would be spinning the spinner. In the spinner, we have a total of 3 possible outcomes. These are 6,7, and 8.
Upon spinning, our favorable outcome would be for the dial to land on a PRIME number. A prime number is a number that has only two factors: 1 and itself. In this case, we only have 1 favorable outcome and that is 7. Note that 6 and 8 are composite numbers. They have more than 2 factors.
Since we only have 1 favorable outcome out of 3 possible outcomes, then the probability of spinning a prime number in the spinner is 1/3 or 0.33%. When rounded to the nearest tenth, it is 0.
