Final answer:
To find the probability of achieving at least 4 tails when flipping a coin 11 times, you can use the concept of binomial probability. The probability of getting tails on a single flip of a fair coin is 0.5. By calculating the probabilities of getting 4, 5, 6, ..., 11 tails and summing them up, you can find the probability of achieving at least 4 tails when flipping a coin 11 times.
Step-by-step explanation:
To find the probability of achieving at least 4 tails when flipping a coin 11 times, we can use the concept of binomial probability.
The probability of getting tails on a single flip of a fair coin is 0.5.
To find the probability of getting exactly k tails in n flips, we can use the formula: P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of flips, k is the number of tails, and p is the probability of getting a tail.
In this case, we want to find the probability of getting at least 4 tails, so we can calculate the probabilities of getting 4, 5, 6, ..., 11 tails and sum them up.
P(X>=4) = P(X=4) + P(X=5) + P(X=6) + ... + P(X=11)
The probability of achieving at least 4 tails when flipping a coin 11 times is the sum of these individual probabilities.