What is the probability of obtaining at least one tail when a coin is flipped six times?
James, Samantha, Amanda -- and a couple of other names -- there's no need to change names with each post. It still looks like you're dumping your homework assignment on us. If you want help, please keep the same name for multiple posts and tell us what you know about solving these problems.
A coin if flipped 4 times what is the probility that it lands on head 3 times
To calculate the probability of obtaining at least one tail when a coin is flipped six times, we can use the concept of complementary probability.
First, let's find the probability of getting all heads in six coin flips.
Since a coin has two possible outcomes (heads or tails) with equal probability, the probability of getting heads on a single flip is 1/2. So, the probability of getting all heads in six flips is (1/2)^6 = 1/64.
Now, we can use the complementary probability to find the probability of obtaining at least one tail. The complementary probability is just 1 minus the probability of the event not happening.
Since there are only two possible outcomes (tails or non-tails), the event of not getting any tails in six flips is the same as getting all heads. So, the complementary probability of not getting any tails is 1/64.
Therefore, the probability of obtaining at least one tail is 1 - (1/64) = 63/64.
Thus, the probability of obtaining at least one tail when a coin is flipped six times is 63/64 or approximately 0.9844.