An event has an 8% chance to occur per try. How would I calculate the chance of the event occurring at least once after 3 tries?
Is the probability in one trial independent of the actual results in the others? If so, can you write a formula for the event to not occur at all in three tries?
To gain some insight into this problem, try the following brute-force method. List all the possible outcomes for the set of three tries: 1=no, 2=no, 3=no : probability = 0.92 * 0.92 * 0.92 = … 1=yes, 2=no, 3=no : probability = 0.08 * 0.92 * 0.92 = … etc. Enumerate all the outcomes (how many of them are there?), calculate the probability for each one, and add up the ones that meet your criterion.