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].
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].