Answer :
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.
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.