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Consider all four-digit numbers that can be made from the digits 0-7 (assume that numbers cannot start with 0 ). What is the probability of choosing a random number from this group that is less than or equal to 6000 ? Enter a fraction or round your answer to 4 decimal places, if necessary.

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Final Answer: $0.8571$ or $\frac{6}{7}$ .

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Step 1 ：Consider all four-digit numbers that can be made from the digits 0-7 (assume that numbers cannot start with 0).

Step 2 ：The total number of such four-digit numbers is calculated as $7 \times 8 \times 8 \times 8 = 3584$ .

Step 3 ：The number of four-digit numbers that are less than or equal to 6000 is calculated as $6 \times 8 \times 8 \times 8 = 3072$ .

Step 4 ：The probability of choosing a random number from this group that is less than or equal to 6000 is calculated as $\frac{3072}{3584} = 0.8571428571428571$ .

Step 5 ：This is equivalent to the fraction $\frac{6}{7}$ when rounded to four decimal places.

Step 6 ：Final Answer: $0.8571$ or $\frac{6}{7}$ .

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