Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
To determine the probability of opening a magazine to a page that is either page three or page seven, follow these steps:
1. Identify the Total Number of Possible Outcomes:
- The magazine contains a total of 14 pages. Therefore, if you open the magazine to a random page, there are 14 possible pages you could end up on.
2. Identify the Favorable Outcomes:
- The favorable outcomes are the pages we are interested in, which are specifically page three and page seven.
- Thus, the favorable outcomes are 2 (page three and page seven).
3. Calculate the Probability:
- Probability is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.
- So the probability [tex]\( P \)[/tex] is given by the formula [tex]\( P = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} \)[/tex].
4. Putting the Values into the Formula:
- The number of favorable outcomes is 2.
- The total number of possible outcomes is 14.
- Therefore, the probability is [tex]\( P = \frac{2}{14} \)[/tex].
5. Simplify the Fraction:
- To simplify [tex]\( \frac{2}{14} \)[/tex], find the greatest common divisor (GCD) of 2 and 14, which is 2.
- Divide the numerator and the denominator by 2:
[tex]\[ \frac{2 \div 2}{14 \div 2} = \frac{1}{7} \][/tex]
So, the probability of opening the magazine to a page that is either page three or page seven is [tex]\( \frac{1}{7} \)[/tex].
1. Identify the Total Number of Possible Outcomes:
- The magazine contains a total of 14 pages. Therefore, if you open the magazine to a random page, there are 14 possible pages you could end up on.
2. Identify the Favorable Outcomes:
- The favorable outcomes are the pages we are interested in, which are specifically page three and page seven.
- Thus, the favorable outcomes are 2 (page three and page seven).
3. Calculate the Probability:
- Probability is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.
- So the probability [tex]\( P \)[/tex] is given by the formula [tex]\( P = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} \)[/tex].
4. Putting the Values into the Formula:
- The number of favorable outcomes is 2.
- The total number of possible outcomes is 14.
- Therefore, the probability is [tex]\( P = \frac{2}{14} \)[/tex].
5. Simplify the Fraction:
- To simplify [tex]\( \frac{2}{14} \)[/tex], find the greatest common divisor (GCD) of 2 and 14, which is 2.
- Divide the numerator and the denominator by 2:
[tex]\[ \frac{2 \div 2}{14 \div 2} = \frac{1}{7} \][/tex]
So, the probability of opening the magazine to a page that is either page three or page seven is [tex]\( \frac{1}{7} \)[/tex].
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.