When you have two einstein solids (a and b), the probability of a certain state = (\omega_a*\omega_b)/\omega_tot.
can someone explain why we have to multiply \omega _a and \omega _b and why doesn't just one of these two suffice?
for example: n_a=12, n_b=18, q_a=10, q_b=50.
what is the probability of q_a=10?
can't i just calculate \omega _a/\omega_tot, since having \omega _a, automatically means \omega _b is defined (and has no influence on the probability anymore)?

You are the coordinator for a program that is going to take place at night in a rectangular amphitheater in the mountains. you will have no access to any electricity, but you must be able to illuminate the entire grounds. you know the intensity of the light from a lantern varies inversely as the square of the distance from the lantern. suppose the intensity is 90 when the distance is 5 m. a. write an equation to model the situation. b. solve for the constant of variation. c. write the equation to model the situation using the constant () of variation. d. you have been given lanterns with 40 light intensity. use your equation to solve for the distance from the lantern. e. you need to illuminate 225 km. how many meters do you need to light? f. how many lanterns will you need?