Question

HELP ME DEAR GOD-

Let H be the event that a coin flip lands with heads showing, and let T be the event that a flip lands with tails showing. (Note that P(H) = P(T ) = 0.5.) What is the probability that you will get heads at least once if you flip the coin ten times? Let A be the probability that heads appears at least once and B be the probability that heads does not appear.


If you flip the coin 10 times the probability you will get a heads at least once is ???

Answer 1

The probability you will get a head at least once is 50%.

Explanation:

Since the question is asking about the probability you will get, we can assume we’re answering based on theoretical probability. This type of probability is based on logic.

A coin always has two sides, one with head and the other with tails. So we can easily represent this as half and half. 1/2 as a fraction. 0.5 as a decimal. 50% as a percent. This means that P(H) will be equal to any one of these as they are all the same. The same can be said for the probability that a head does not appear, in other words, a tail appears. The reason being that the probability is split evenly between the two. This will again mean that P(T) will equal to any one of those.

So, A = 50% and B = 50%. The probability you will get a head at least once is 50%.