can anyone help me on how to find the probability of getting a head by tossing N coins out of which half of them are biased (only tail falls)...?
N/2 (1/2) N/2 (0) for the others
looks to me that out of N coins tossed, the prob of getting heads is N/2 (1/2) of them
but i have a tendency to read these wrong ....
spose N=2 coins HT TT TT TT would be the likely outcomes with a biased coin so 1/4 seems right to me
@amistre64 if N/2 *(1/2) is probability then consider there are 10 coins according to you we will probability as 2.5. we cant get probability greater than 1.
maybe N/2*(1/2)^(N/2) ??? P(Hu)*P(Tu)*P(Tu)* ...(unbiased times) * P(Tb)*P(Tb)*P(Tb)*.... (biased times) .5*.5*.5* ... *1*1*1*.... thats the underlieing idea i have, but as a siad, im prolly wrong :)
I would imagine that there are N/2 ways to get 1H in that setup
if we need to find the probability of a head we can take like N/2C1 multiplied by probability of getting head(1/2) whole divided by N C1.... will that be right
since the probability of heads is .5; and the probability of tails is .5 ... ideally the prob of getting: Hu and Tu and Tu ... and Tb and Tb and Tb .... equals: .5 * .5 * .5 ... * 1 * 1 * 1 the number of times we can get an H is N/2 times the total number of outcomes i believe is \[\frac{N!}{dunno}\]hmm
im sure Zarkon or Satellite would be better equipped to determine a suitable result tho
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