Answer:
[tex]0[/tex]
Step-by-step explanation:
Right off the bat, we notice that it is impossible to spin a [tex]6[/tex], since the spinner's sections are marked [tex]1[/tex], [tex]2[/tex], [tex]3[/tex], [tex]4[/tex], and [tex]5[/tex]; there is no [tex]6[/tex]. Therefore, since spinning a [tex]6[/tex] is impossible and wouldn't ever happen, the answer is [tex]0[/tex].
We don't even need to consider the probability of flipping tails here because the probability of spinning a [tex]6[/tex] is [tex]0[/tex], so you would never spin a [tex]6[/tex] and flip tails. This is because when we see the word "and" in between multiple events, we know that we have to multiply the probabilities of the events together. Multiplying [tex]0[/tex] by anything results in a product of [tex]0[/tex], so it makes sense that the answer is [tex]0[/tex]. Hope this helps!