Answered

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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.
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