The conversation between human and AI assistant.
If you toss a fair coin 9 times, what is the probability of getting 4 heads and 5 tails?
How did you calculate that?
The formula to calculate the probability of getting a specific number of heads in a given number of tosses is (n choose r) * p^r * (1-p)^(n-r), where n is the number of tosses, r is the number of specific outcomes you're interested in, and p is the probability of getting the specific outcome. Using this formula for 4 heads and 5 tails when tossing a coin 9 times, we get (9 choose 4) * (0.5)^4 * (0.5)^5 = 0.246.