RE: Disproving Odin - An Experiment in arguing with a theist with Theist logic
March 22, 2018 at 8:44 pm
(March 22, 2018 at 6:09 pm)Jenny A Wrote: If you roll a pair of dice the chance of rolling a six is one in six for each die. If you want to know what the chances are that at least on of the die will come up six, you add the probabilities together. So, 1/6 + 1/6 = 1/3. But, if you want to know what the chances are of both die rolling 6, you multiply the probabilites.p 1/6 × 1/6 = 1/36.
Just a quibble: if you roll two dice, the probability that at least one will be a 6 is 1-(5/6)*(5/6)=1-25/36=11/36. This is NOT 1/3. To correctly compute this probability, you have to first find the probability that *neither* got a 6 (i.e, both got 1 to 5) and then subtract that from 1 (the negation).
Alternatively, you can compute it via 1/6 + 1/6 - (1/6)*(1/6) = 1/3 - 1/36 =11/36. In your calculation, you neglected the probability of both getting a 6, thereby overestimating the probability slightly.