Question

You spin the spinner with 5 possible outcomes and flip a coin find the probability of the compound event the probability of not spinning a five and flipping heads is _

Answer 1

To answer this question we will use the following expression to compute the theoretical probability that an event occurs:

`\frac{\text{favorable cases}}{total\text{ cases}}.`

Notice that the given spin has 5 cases: 1, 2, 3, 4, and 5, and flipping a coin has 2 possible cases: head and tails.

Notice that the events are independents, therefore the probability of the compounded event is equal to the product of each probability.

The theoretical probability of not spinning a five is:

`(4)/(5)\text{.}`

The theoretical probability of flipping heads is:

`(1)/(2)\text{.}`

Therefore, the theoretical probability of not spinning a five and flipping heads is:

`(4)/(5)*(1)/(2)\text{.}`

Answer:

`(2)/(5)\text{.}`