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Home » You Won’t Believe What Saint Dismas Did Before His Canonization—Legend or Truth? - Dyverse

You Won’t Believe What Saint Dismas Did Before His Canonization—Legend or Truth? - Dyverse

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 How many positive 4-digit numbers are divisible by 5?

📌 A 4-digit number ranges from 1000 to 9999. A number divisible by 5 ends in 0 or 5.

📌 Find the smallest and largest 4-digit numbers divisible by 5:

📌 Smallest: 1000 (divisible by 5)

📌 Largest: 9995 (since 9999 is not divisible by 5, subtract 4 to get 9995)

📌 These numbers form an arithmetic sequence where \(a = 1000\), \(l = 9995\), and \(d = 5\).

📌 The number of terms \(n\) is given by the formula for the \(n\)-th term of an arithmetic sequence:

📌 l = a + (n-1) \cdot d \implies 9995 = 1000 + (n-1) \cdot 5

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\frac{4!}{2!1!1!} = 12
So total favorable sequences:
$4 \times 3 \times 12 = 144$
Therefore, the desired probability is:
\frac{144}{256} = \frac{9}{16}
Wait — but this counts only sequences with one pair and two singles, a...
But note: the problem says exactly two of the chosen options are the s...
Thus, our count is correct.
Hence, the probability is:
But wait: $144 \div 16 = 9$, $256 \div 16 = 16$, yes: $\frac{144}{256}...

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