Calculate Probability of Losing 5, 10, 20 Times in a Row

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SUMMARY

The probability of losing multiple times in a row can be calculated using the formula P(Losing k times) = (0.2)^k, where 0.2 represents the 20% chance of losing. For instance, the probability of losing 5 times in a row is 0.2^5, which equals 0.00032 or 0.032%. Similarly, losing 10 times in a row results in a probability of 0.2^10, equating to 0.0000001024 or 0.00001024%. This method applies to any number of consecutive losses, provided the trials are independent.

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Probability help...

If i have a standard 80% chance of wining and 20% chance of losing
than what is the chance of me losing 5 times in a row 10 times in a row
and 20 times in a row.

I would be very grateful if someone can show me how to calculate this on my own.

Thanks

I am trying to figure out the maximum number of divination in the losing direction
so occurrences 500.
 
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Since your chance of losing is .2, the chances of losing k times in a row (assuming independence of the trials) is .2k.

Your last sentence has typos - I can't understand it.
 

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