Final answer:
The probability of an event with a 15% chance of occurring happening at least once in five tries is approximately 55.63%.
Step-by-step explanation:
To calculate the odds of something happening at least once in multiple attempts, we need to consider the probability of it not happening in all attempts and subtract that from 1. So, if there's a 15% chance of something happening, it means there is an 85% chance of it not happening in one attempt.
To find out the probability of it not happening in all five attempts, we raise the 85% to the power of five:
(0.85)^5
Calculating this, we find:
(0.85)^5 = 0.4437053125
This is the probability of the event not happening in all five tries. To find the probability of it happening at least once, we subtract this number from 1:
1 - 0.4437053125 = 0.5562946875
The probability of the event happening at least once in five attempts is approximately 55.63%.