Final answer:
The probability that the number of heads is even when five coins are flipped is 3/4 or 0.75.
Step-by-step explanation:
To find the probability that the number of heads is even when five coins are flipped, we can use the concept of probability.
First, we need to determine the possible outcomes when flipping five coins. Each coin can land on either heads or tails, so there are 2^5 = 32 possible outcomes.
Next, we need to determine the number of outcomes where the number of heads is even. Out of the 32 possible outcomes, we have 2 outcomes with 0 heads, 10 outcomes with 2 heads, 10 outcomes with 4 heads, and 2 outcomes with 5 heads. Therefore, the number of outcomes where the number of heads is even is 2 + 10 + 10 + 2 = 24.
Finally, we can calculate the probability by dividing the number of outcomes where the number of heads is even (24) by the total number of possible outcomes (32). So, the probability is 24/32 = 3/4 = 0.75.