#11




Re: question about probability

#12




Re: question about probability
The law of big numbers states that the average $\nu_min$ is close to the $E{\nu_min}$.
$E\nu_min$ can be calculated directly for this experiment. $P(\nu_min=0)$=0.623576 $P(\nu_min = 0.1)$ = 0.3764034 $P(\nu_min = 0.2)$ = 0.00002; and $P(\nu_min>=0.3)=0$ for the purposes of calculating the mean. Therefore, $E(\nu_min)$=0.037644, and the average proportion of heads for c_min should be close to this number. 
#13




Re: question about probability
Allow me to format your post:

#14




Re: question about probability
Please, allow me to ask how you did it?

#15




Re: question about probability
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#16




Re: question about probability
how did you calculate those probability values? ( nu_min = 0, 0.1, 0.2 )

#17




Re: question about probability
Thank you, Professor.
This how I calculate the probabilities. Let  the number of heads for , and let be the number of heads in ith experiment (out of 1000). Then, as Professor has shown previously, Now, . Therefore, Next, Next, The rest can be calculated directly too, but they are essenctially 0 for the purpose of calculating the mean. 
#18




Re: question about probability
thank you for the detailed explanation.

#19




Re: question about probability
the answer is very clear but how do we know when to use this not.
to clarify my question, if say P(ten heads)=p and P(not ten heads)=q (=1p). why does using (p^1000) give the wrong answer? 
#20




Re: question about probability
Quote:
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