Using it's concept, it is found that the probability of spinning an odd number, not flipping heads, then not spinning a 6 is:
[tex]p = \frac{20}{81} = 24.69\%[/tex]
What is a probability?
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
- There are 5 odd numbers in the spinner, out of 9, hence the probability of spinner an odd number is 5/9.
- The coin is fair, hence the probability of flipping tails = not heads is of 1/2.
- Out of the 9 numbers in the spinner, only one is six, hence the probability of not spinning a 6 is of 8/9.
Then, the probability of the compound event is:
[tex]p = \frac{5}{9} \times \frac{1}{2} \times \frac{8}{9} = \frac{20}{81} = 24.69\%[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
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