Final answer:
The probability of flipping a coin six times and getting three heads and three tails in any order is 5/16.
Step-by-step explanation:
To find the probability of flipping a coin six times and getting three heads and three tails in any order, we can use the concept of combinations. There are 6 coin flips and we want 3 heads and 3 tails, so we need to find the number of ways to arrange 3 heads and 3 tails in 6 flips. The number of ways to arrange 3 heads and 3 tails in 6 flips is given by the formula C(6, 3) = 6! / (3! * 3!) = 20.
Since there are 2 possible outcomes (heads or tails) for each flip, the total number of possible outcomes is 2^6 = 64.
Therefore, the probability of getting three heads and three tails in any order is 20/64, which simplifies to 5/16.