Question

A fair coin is flipped twice.

What is the probability of getting at least one heads?
(4 Points)

1/4

1/2

3/4

1

Answer 1

To find the probability of getting at least one heads when flipping a fair coin twice, we can first determine the total number of outcomes. When flipping a coin twice, the possible outcomes are:

1. Heads, Heads (HH)
2. Heads, Tails (HT)
3. Tails, Heads (TH)
4. Tails, Tails (TT)

This gives us a total of 4 outcomes.

Now, we want to find the probability of getting at least one heads. The only outcome that does not have a heads is (TT). This means there are 3 outcomes that have at least one heads: (HH), (HT), and (TH).

So the number of favorable outcomes (at least one heads) is 3, and the total number of possible outcomes is 4.

The probability of getting at least one heads is therefore:

\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{3}{4}
\]

So the probability of getting at least one heads is **3/4**.