What is the probability that in a particular crossing, there are total 10 pedestrian and they are all crossing from left to right?

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Pedestrians approach a crossing from the left and right sides following independent Poisson processes with
average arrival rates of λL = 5 and λR = 1 arrivals per minute. Each pedestrian then waits until a light
is flashed, at which time all waiting pedestrians must cross to the opposite side (either from left to right or
from right to left). Assume that the left and right arrival processes are independent, that the light flashes
every T = 2 minutes, and that crossing takes zero time – it is instantaneous.
1. What is the probability that in a particular crossing, there are total 10 pedestrian and they are all
crossing from left to right? 

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