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

\begin{tabular}{|c|l|l|l|l|}
\hline Outcome & Heads, Heads & Heads, Tails & Tails, Heads & Tails, Tails \\
\hline Frequency & 60 & 73 & 63 & 44 \\
\hline
\end{tabular}

If the coin is flipped 240 times, determine [tex]\( P(\text{Tails, Heads}) \)[/tex].

A. 50\%
B. 44.6\%
C. 26.3\%



Answer :

To determine the experimental probability [tex]\( P(\text{tails, heads}) \)[/tex] from the given data, follow these steps:

1. Identify the Frequency of Each Outcome:
- Heads, Heads: 60 occurrences
- Heads, Tails: 73 occurrences
- Tails, Heads: 63 occurrences
- Tails, Tails: 44 occurrences

2. Total Number of Flips:
- The total number of flips is 240.

3. Frequency of the Outcome "Tails, Heads":
- From the table, "Tails, Heads" occurred 63 times.

4. Calculate the Experimental Probability:
- The probability of getting "Tails, Heads" is the frequency of "Tails, Heads" divided by the total number of flips.
- [tex]\[ P(\text{tails, heads}) = \frac{\text{frequency of (tails, heads)}}{\text{total number of flips}} = \frac{63}{240} \][/tex]

5. Convert the Probability to a Percentage:
- To express this probability as a percentage, multiply by 100.
- [tex]\[ P(\text{tails, heads}) = \left( \frac{63}{240} \right) \times 100 \][/tex]

6. Simple Division:
- Perform the division and multiplication:
- [tex]\[ \frac{63}{240} \approx 0.2625 \][/tex]
- [tex]\[ 0.2625 \times 100 = 26.25\% \][/tex]

Therefore, the experimental probability [tex]\( P(\text{tails, heads}) \)[/tex] is [tex]\(26.25\%\)[/tex].

So, the correct answer among the choices is [tex]\(26.3\%\)[/tex].