Three vehicles from a companys six trucks, five vans, three cars and one motorbike are randomly selected

Question:

Three vehicles from a company’s six trucks, five vans, three cars and one motorbike are randomly selected and tested for roadworthiness.

a. Show that the probability of selecting three vans is 2/91.

b. Draw up the probability distribution table for the number of vans selected.

c. Find the probability that, at most, one van is selected.

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