Can you help me understand how to solve this problem? (I need the process and math behind it, not just the answer).
Suppose I have a 10-sided die. It's clear enough that the odds of rolling a 1 are 10% for any single roll. What, then, is the likelihood that I will roll a 1 given 10 rolls? Given 5 or 20 rolls?
I'd need to solve this for any single-event probability, too -- not just for a 10-sided die.

Solution Preview

Solution. We first consider a 10-sided die. Then we can generalize this idea to any m-sided die. Obviously, if we roll a 10-sided die, we get 1 with probability p=10%.
<br>
<br>(1) If we roll this die 10 times, then denote the number that we get 1 by X. We know that X is a random variable which ...

Solution Summary

Can you help me understand how to solve this problem? (I need the process and math behind it, not just the answer).
Suppose I have a 10-sided die. It's clear enough that the odds of rolling a 1 are 10% for any single roll. What, then, is the likelihood that I will roll a 1 given 10 rolls? Given 5 or 20 rolls?
I'd need to solve this for any single-event probability, too -- not just for a 10-sided die.

... Predict the probability of the occurrence of a single event. ? ... Part I: Probability of the Occurrence of a Single Event 1. Toss a penny 20 times. ...

... is equal to 1, then the probability that a single event (where no out-of-control conditions are observed at all) is 1-βm, which is the same as to say that the ...

... by P(S) = p, and so the probability of failure ... 1 - p = q. We assume that these probabilities remain constant ... we wait for the occurrence of a single event, so X ...

... of their occurring as a single event (Chiesi, 2008). ... and agencies already use probability statistics to ... Based upon their statistic probabilities on what they ...

... conducted to observe more than a single event or characteristic. ... impossible to provide a table of probabilities (such as ... value E(x), of a probability is its ...

... to data samples from concatenated single event-locked time sub-epochs from ... ICA attempts to split components with Amplitude probability distributions functions ...

... approaches have been to link returns either to a single event or a ... are unexpected under objective probabilities. ... ante probability of a win in a particular game ...