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 Tails)?
20%
25%
50%
85%

Answer 1

To find the probability of getting "No Tails" when flipping the coin twice, we should consider the outcomes that do not include any tails. In the provided data, the only outcome that includes no tails is "Heads, Heads."

Let's summarize the data:
- Heads, Heads: 40 times
- Heads, Tails: 75 times
- Tails, Tails: 50 times
- Tails, Heads: 35 times

Now we calculate the total frequency of all outcomes:
Total flips = 40 + 75 + 50 + 35 = 200

Next, we identify the outcome with no tails:
- No Tails (which is "Heads, Heads") = 40

Now we calculate the probability of getting no tails:
\[
P(\text{No Tails}) = \frac{\text{Frequency of No Tails}}{\text{Total Outcomes}} = \frac{40}{200} = \frac{1}{5} = 0.20
\]

Converting this to a percentage:
\[
0.20 \times 100\% = 20\%
\]

Thus, the probability of getting No Tails is **20%**.