Question

Carrie flipped a fair coin twice 240 times and recorded the results in the table.

Outcome Heads, Heads Heads, Tails Tails, Heads Tails, Tails
Frequency 60 73 63 44

If the coin is flipped 240 times, determine P(tails, tails).
18.3%
25%
44.8%
50.0%

Answer 1

18.3%

Explanation:

To determine the probability of a specific outcome in a probability experiment, we can use the formula:

`\sf P(\textsf{Event}) = \frac{\textsf{Number of favorable outcomes}}{\textsf{Total number of outcomes}}`

In this case, the event is getting "Tails, Tails" on the coin flips, and the total number of outcomes is 240.

The number of favorable outcomes (getting "Tails, Tails") is given as 44 in the table.

`\sf P(\textsf{Tails, Tails}) = (44)/(240)`

Now, let's calculate this probability:

`\sf P(\textsf{Tails, Tails}) = (44)/(240) \approx 0.1833`

In order to convert in percentage, we multiply by 100.

So

`\sf P(\textsf{Tails, Tails}) = 0.1833 \cdot 100 = 18.3%`

So, the correct answer is 18.3%.