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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.

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.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.