Question: can you rewrite this The probability that the nearest star is in a distance range between R and R+dR is the product of the probability

can you rewrite this The probability that the nearest star is in a distance range between R and R+dR is the product of the probability of finding no stars in the ball of radius R and the probability of finding precisely one star in the thin spherical shell of radius R. This is given by P = (4R^2n)e^-4R^3n/3 * dR, where n is the average density of stars. The term 4R^2n is the expected number of stars in the shell, and e^-4R^3n/3 is the probability of finding no stars in the ball of radius R

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