thank you very much
actually I was working on a computing and I forget some details on the statistical basics .. I didn't take a course on the probabilities
tank you :)
sorry, I forget the conditional probability :(
P(x1=2|x2=1) =P(x1=2 ∩x2=1) / P(x2=1)
P(x1=2 ∩x2=1) = 1/16
P(x2=1)= 5/15
P(x1=2|x2=1) = 1/5
correct?
________________
you divide by two instead of multiply !
I was double it and get P= 1/4 instead of 1/16 !
is the tree that I made wrong ?
b. The probability that x1 = 2, given that x2 = 1.
I will explain the calculations:
p(x1=2) = 0.25
p(x2=1)= 0.5
but because the first generation get 2 particles I will multiply it by 2
2(0.25*0.5) = 0.25
where is the mistake exactly ?
why you are looking for the probability of getting zero particle ?
for part b .. I would say that when x1=2 and x2=1
p= (0.25 * 0.5) +(0.25 *0.5) = 0.25
right ?
well, the problem ask for the probability of getting number of particles in the second generation more than zero ... not equal to zero right ?
so I sum up all the probabilities of getting 1 particle and 2 particles in second generation .. I will highlight the path in the attached photo
I get...
https://fly.cloud.photobox.com/2984919587ea968d6b9e99fdd1b96c87d958717a3c978173f83c89a622c049a69cc2da81.jpg
is this correct ?
I think I should not calculate the zero particle ,, right ?
Homework Statement
An imaginary particle can decay in 0, 1 or 2 particles of the same kind with probabilities 1/4, 1/2 and 1/4, respectively. Beginning with one particle, we denote xi the number of particles in the ith generation. Determine:
a. P(x2 >0)
b. The probability that x1 = 2, given...