To calculate how many more hours it will take to get 3700 additional items, we first need to find your current drop rate based on the information provided.
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Current Drop Rate:
- In 10 hours, you have obtained 1300 items.
- Drop rate per hour = \( \frac{1300 \text{ items}}{10 \text{ hours}} = 130 \text{ items/hour} \).
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Probability Calculation:
- You have a drop chance of \( \frac{1}{64} \), which means on average, you would expect to get 1 item every 64 attempts.
- With a luck factor of 5.72, your effective drop probability can roughly be calculated as \( \text{Probability} = \frac{1 + \text{Luck Factor}}{64} = \frac{1 + 5.72}{64} \approx \frac{6.72}{64} \approx 0.104375 \).
- This means for every 1 attempt, on average, you get approximately 0.104375 items.
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Attempts to Get 3700 Items:
- To find out how many attempts are necessary to acquire 3700 items, we can use: \[ \text{Attempts} = \frac{3700 \text{ items}}{\text{Probability}} = \frac{3700}{0.104375} \approx 35401.1 \text{ attempts} \]
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Time Calculation:
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We need to determine how long it takes to make those attempts. The average attempts made in your initial 10 hours need to be calculated first.
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From the drop rate, in 10 hours, if you collected 1300 items, and with a likelihood of getting \( 0.104375 \) items per attempt, it is possible to calculate total attempts made in those hours.
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Let \( X \) be the number of attempts made in 10 hours, then: \[ \text{Expected items} = X \times \text{Probability} \Rightarrow 1300 = X \times 0.104375 \Rightarrow X \approx \frac{1300}{0.104375} \approx 12427.8 \text{ attempts} \]
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Since you completed about 12428 attempts in 10 hours, we can calculate the time taken per attempt: \[ \text{Time per attempt} = \frac{10 \text{ hours}}{12428 \text{ attempts}} \approx 0.000805 \text{ hours/attempt} \]
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Final Time to Get More Items:
- Now that we know how many more attempts are necessary, we can calculate the time to complete these attempts: \[ \text{Total Time} = \text{Attempts needed} \times \text{Time per attempt} = 35401.1 \times 0.000805 \approx 28.5 \text{ hours} \]
Therefore, it will take approximately 28.5 hours to get 3700 more items at your current drop rate and luck level.