Question

An experiment is conducted with a coin. The results of the coin being flipped twice 200 times is shown in the table.


Outcome Frequency
Heads, Heads 40
Heads, Tails 75
Tails, Tails 50
Tails, Heads 35


What is the P(No Heads)?
85%
75%
50%
25%

Answer 1

To find the probability of getting "No Heads" when flipping the coin twice, we need to consider the outcomes that do not include Heads at all. The only outcome that has no Heads is "Tails, Tails".

From the table, we see:

- **Tails, Tails**: 50 occurrences

The total number of experiments conducted is 200 (since the coin was flipped twice 200 times).

The probability of getting "No Heads" is calculated as follows:

\[
P(\text{No Heads}) = \frac{\text{Frequency of No Heads}}{\text{Total Frequencies}} = \frac{50}{200}
\]

Now, simplifying this fraction:

\[
P(\text{No Heads}) = \frac{50}{200} = \frac{1}{4} = 0.25
\]

To express it as a percentage, we multiply by 100:

\[
0.25 \times 100 = 25\%
\]

So, the probability of getting No Heads is **25%**.

Thus, the correct answer is:

**25%**