Final answer:
When flipping a coin 4 times, there are 16 possible outcomes. The number of possible outcomes with an odd number of heads is 16.
Step-by-step explanation:
When you flip a coin, there are two possible outcomes: heads or tails. If you flip a fair coin four times, there are 2^4 (or 16) possible outcomes. To determine the number of possible outcomes that have an odd number of heads, we need to consider the combinations of heads and tails.
Since there are an even number of coin flips (4), there are two cases to consider:
Case 1: 3 tails and 1 head
Case 2: 1 tail and 3 heads
Each case has 4 choices for the position of the head (H) and 2 choices for the positions of the tails (T), giving us a total of 4*2 = 8 possible outcomes for each case.
Therefore, the total number of possible outcomes with an odd number of heads is 8 + 8 = 16.