Question

joseph flips a fair coin and rolls a fair number cube with sides numbered 1 through 6. what is the probability that he will roll a number greater than 4 and the coin will land on heads

Answer 1

`(1)/(6)`

Step-by-step explanation:

Since both the events do not affect each other, they are independent. We are looking for the probability that both events happen, so we multiply the probabilities of each event.

The probability of rolling number greater than four would start with a denominator of 6 since there are 6 equally likely outcomes. The favorable outcomes number 2 since the only numbers greater than 4 are 5 and 6. So the probability is
`(2)/(6)` which simplifies to
`(1)/(3)`.

The probability a coin would land on heads is just
`(1)/(2)` since you can get either heads or tails and there is only one favorable outcome.

Multiplying these together results in a final answer of
`(1)/(6)`