You spin the spinner and flip a coin. Find the probability of the compound event. A spinner is divided into 5 equal regions. The sections are labeled 1, 2, 3, 4, and 5.

The probability of spinning a 6 and flipping tails is

Step-by-step explanation:

Right off the bat, we notice that it is impossible to spin a , since the spinner's sections are marked , , , , and ; there is no . Therefore, since spinning a is impossible and wouldn't ever happen, the answer is .

We don't even need to consider the probability of flipping tails here because the probability of spinning a is , so you would never spin a 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 by anything results in a product of , so it makes sense that the answer is . Hope this helps!