Question

The probability for a rolling a 3 on a die and getting tails on a coin is. Based on this probability, how many possible outcomes are there? Is it likely that one would roll a 3 and get tails

Answer 1

The possibility of rolling a `3` on a fair die and getting tails on a coil is `1/12`. Based on this probability, there are `12` possible outcomes. As only 1 out of 12 possiblities would get this outcome, it is not a likely outcome.

Explanation:

The probability of rolling a `3` on a fair die is `1/6` because there is only one `3` out of `6` numbers. The probability of getting tails on a coin is `1/2` because there are `2` possibilities and tails is one of them. To get the probability of rolling a `3` on a fair die and getting tails on a coil, we multiply their probabilities:
`1/6 * 1/2 = 1/12`
There are `12` possiblities because for each of the `6` possibilites for rolling a die, there are `2` possibilites for flipping a coin.