Answered

Find expert answers and community support for all your questions on IDNLearn.com. Discover in-depth and reliable answers to all your questions from our knowledgeable community members who are always ready to assist.

Read the following problem carefully and provide the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down.

The probability of picking a card with an even number is:

______

Sagot :

GinnyAnsweridn
Let's solve this problem step-by-step.

1. List the numbers on the cards:
- The numbers given are 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29.

2. Count the total number of cards:
- There are 10 cards.

3. Identify the even numbers from the list:
- The even numbers are 12, 14, and 18.

4. Count the number of even-numbered cards:
- There are 3 even-numbered cards.

5. Calculate the probability of picking a card with an even number:
- Probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes.
- In this case, it's the number of even-numbered cards divided by the total number of cards.
- [tex]\( \text{Probability} = \frac{\text{Number of even-numbered cards}}{\text{Total number of cards}} = \frac{3}{10} \)[/tex].

6. Express the final probability as a decimal:
- [tex]\( \frac{3}{10} \)[/tex] can be converted to its decimal form, which is 0.3.

Therefore, the probability of picking a card with an even number is 0.3.
We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Thank you for trusting IDNLearn.com with your questions. Visit us again for clear, concise, and accurate answers.