If rolled a dice that has sides labeled 1 to 6 and then flips a coin what is the probability that she rolls an even number and flips heads?

To find the probability of rolling an even number on a six-sided die and flipping heads on a coin, we first determine the probabilities of each event. The even numbers on the die are 2, 4, and 6, giving us 3 favorable outcomes out of 6 possible outcomes, so the probability of rolling an even number is ( \frac{3}{6} = \frac{1}{2} ). The probability of flipping heads on a coin is ( \frac{1}{2} ). Therefore, the combined probability of both events occurring is ( \frac{1}{2} \times \frac{1}{2} = \frac{1}{4} ).