Question

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

Answer 1

`0`

Explanation:

Right off the bat, we notice that it is impossible to spin a
`6`, since the spinner's sections are marked
`1`,
`2`,
`3`,
`4`, and
`5`; there is no
`6`. Therefore, since spinning a
`6` is impossible and wouldn't ever happen, the answer is
`0`.

We don't even need to consider the probability of flipping tails here because the probability of spinning a
`6` is
`0`, so you would never spin a
`6` 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
`0` by anything results in a product of
`0`, so it makes sense that the answer is
`0`. Hope this helps!