**Homework Help: Questions and Answers:** Your state’s BigBucks Lottery prize has reached $100000000 and you decide to play. You have to pick five numbers between 1 and 60, and you’ll win if your numbers match those drawn by the state. You decide to pick your “lucky” numbers using a random number table. Which numbers do you play, based on these random digits?

43680 98750 13092 76561 58712

a) 43, 9, 50, 13, 27

b) 43, 68, 9, 87, 50

c) 4, 3, 6, 8, 0

d) 43, 98, 13, 76, 58

**Answer**

To solve this problem, we need to select five numbers between 1 and 60 from the given random digits. The random digits provided are:

`43680 98750 13092 76561 58712`

**Step by Step Answering**

**Identify valid numbers**: We need numbers between 1 and 60. This means we should only select numbers that fall within this range from the random digits provided.

**Break down the digits into potential numbers**:

The numbers can be taken as pairs of digits from the random digits. We will examine pairs of digits and see if they fall within the 1-60 range.

**Extract potential numbers from each group of digits**:

**43680**: The potential pairs are 43, 36, 68, and 80. From these, 43 and 36 are between 1 and 60.**98750**: The potential pairs are 98, 87, 75, and 50. From these, only 50 is between 1 and 60.**13092**: The potential pairs are 13, 30, 09, and 92. From these, 13, 30, and 9 are between 1 and 60.**76561**: The potential pairs are 76, 65, 56, and 61. From these, 56 is between 1 and 60.**58712**: The potential pairs are 58, 87, 71, and 12. From these, 58 and 12 are between 1 and 60.

**Compare the numbers with the given options**:

**a) 43, 9, 50, 13, 27:**

- Matches with the numbers 43, 9, 50, and 13 from our extracted list. However, 27 is not part of the extracted numbers.

**b) 43, 68, 9, 87, 50**

- Matches with the numbers 43, 9, and 50. However, 68 and 87 are not between 1 and 60.

**c) 4, 3, 6, 8, 0**

- None of these numbers match our criteria (they are not between 1 and 60).

**d) 43, 98, 13, 76, 58**

- Matches with the numbers 43, 13, and 58. However, 98 and 76 are not between 1 and 60.

**Final Answer**

Based on the extracted numbers, option a) contains the most valid numbers: 43, 9, 50, 13. However, 27 is not found in the extracted numbers, and neither are all options a perfect match.

**a) 43, 9, 50, 13, 27**

The question seems to imply selecting from the first valid combination without repeating a number more than once, and the closest option with four valid numbers is **option a) 43, 9, 50, 13 with 27** being a random choice out of range. Thus, the problem might assume some manual selection for any missing numbers beyond the explicitly provided valid pairs.

Therefore, option **a** is the closest to matching the selection criteria.

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