Use the attached random digit table to estimate the probability of the event that at least 2 people in a group of 5 people have the same zodiac sign. Use the numbers 00 through 11 to represent each of the 12 zodiac signs. Use the table to simulate 5 trials. Read the table from left to right, top to bottom, starting with the digit in the first column of the first row.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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## Data Table 

### Instructions
Read the table from left to right, top to bottom.

### Data
```
77 93 91 11 93 74 97 06 58 93 51 33 99 76 51 27 81 90 70 31 97 26 35 08 27
73 57 69 73 04 40 60 71 43 67 65 14 74 44 57 07 20 53 15 93 81 00 65 93 75
59 04 33 38 93 09 60 19 29 82 46 04 98 20 23 24 79 62 92 04 49 96 80 80 08
07 75 70 49 93 16 93 89 75 44 03 39 28 63 40 35 07 20 37 73 41 38 29 53 57
63 14 14 54 80 46 08 99 68 44 15 31 21 10 70 92 98 61 49 44 51 78 09 48 99
75 27 10 66 66 67 70 97 01 03 32 69 86 85 90 77 89 53 52 77 73 27 56 85 67
85 67 67 97 11 51 91 76 92 20 27 14 51 23 09 66 60 82 31 18 73 67 39 67 43
75 00 14 55 95 74 55 53 81 95 44 75 25 03 70 76 70 04 41 70 57 30 18 72 09
44 92 13 59 67 18 14 16 15 64 70 96 20 85 42 57 99 57 82 81 10 77 40 76 23
30 27 91 91 55 91 14 43 71 80 75 14 64
Transcribed Image Text:## Data Table ### Instructions Read the table from left to right, top to bottom. ### Data ``` 77 93 91 11 93 74 97 06 58 93 51 33 99 76 51 27 81 90 70 31 97 26 35 08 27 73 57 69 73 04 40 60 71 43 67 65 14 74 44 57 07 20 53 15 93 81 00 65 93 75 59 04 33 38 93 09 60 19 29 82 46 04 98 20 23 24 79 62 92 04 49 96 80 80 08 07 75 70 49 93 16 93 89 75 44 03 39 28 63 40 35 07 20 37 73 41 38 29 53 57 63 14 14 54 80 46 08 99 68 44 15 31 21 10 70 92 98 61 49 44 51 78 09 48 99 75 27 10 66 66 67 70 97 01 03 32 69 86 85 90 77 89 53 52 77 73 27 56 85 67 85 67 67 97 11 51 91 76 92 20 27 14 51 23 09 66 60 82 31 18 73 67 39 67 43 75 00 14 55 95 74 55 53 81 95 44 75 25 03 70 76 70 04 41 70 57 30 18 72 09 44 92 13 59 67 18 14 16 15 64 70 96 20 85 42 57 99 57 82 81 10 77 40 76 23 30 27 91 91 55 91 14 43 71 80 75 14 64
On an educational website, you might see:

---

**Estimating Probability with Random Digit Tables**

To estimate the probability that at least two people in a group of five share the same zodiac sign, follow these steps using a random digit table:

1. **Representation**: Numbers 00 to 11 represent the 12 zodiac signs.
2. **Simulations**: Perform 5 trials using the table.
3. **Reading the Table**: Start at the first column of the first row and read from left to right, moving top to bottom through the columns.

For each trial, select five numbers to represent the zodiac signs of the group members. Record each result and determine if any two numbers (signs) match.

**Example**:

- Trial 1: Sequence of numbers
- Trial 2: Sequence of numbers
- ...
- Trial 5: Sequence of numbers

Calculate the probability: \(\text{Probability} = \frac{\text{Number of successful trials}}{5}\)

**Note**: Click the icon to view the random digit table.

[Table Icon]

--- 

This approach uses randomness to simulate and estimate probabilities in a practical and educational context.
Transcribed Image Text:On an educational website, you might see: --- **Estimating Probability with Random Digit Tables** To estimate the probability that at least two people in a group of five share the same zodiac sign, follow these steps using a random digit table: 1. **Representation**: Numbers 00 to 11 represent the 12 zodiac signs. 2. **Simulations**: Perform 5 trials using the table. 3. **Reading the Table**: Start at the first column of the first row and read from left to right, moving top to bottom through the columns. For each trial, select five numbers to represent the zodiac signs of the group members. Record each result and determine if any two numbers (signs) match. **Example**: - Trial 1: Sequence of numbers - Trial 2: Sequence of numbers - ... - Trial 5: Sequence of numbers Calculate the probability: \(\text{Probability} = \frac{\text{Number of successful trials}}{5}\) **Note**: Click the icon to view the random digit table. [Table Icon] --- This approach uses randomness to simulate and estimate probabilities in a practical and educational context.
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