OK. I'm serious.
How likely is it that all 9 or 11 or however many shrimp I have are all male?
No berried anybody and I swear to god, last night, I saw a teeny disco ball and trance music playing in there.....
Using the coin flipping analogy.
If I flip a coin 10 times in a row, obviously the probability of rolling heads ten times in a row is (12)10" role="presentation" style="margin: 0px; padding: 0px; border: 0px; font-variant: inherit; font-stretch: inherit; line-height: normal; font-family: inherit; vertical-align: baseline; display: inline; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">(12)10(12)10. However, I am not sure how to calculate the exact odds that I will have
at some point rolled heads 10 times in a row during a series of n flips. I have written a program to calculate the odds, but it runs in exponential time on n so it is relatively unusable. Here are the first couple results:
in 10 rolls, 0.0009765625