Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
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].
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.