In Canada’s national 6-49 lottery, a ticket has 6 numbers each from 1 to 49, with no repeats. Determine the probability of matching exactly 3 of the 6 numbers chosen.

What is the sum of the geometric series in which a1 = 7, r = 3, and an = 1,701? hint: cap s sub n equals start fraction a sub one left parenthesis one minus r to the power of n end power right parenthesis over one minus r end fraction comma r ≠ 1, where a1 is the first term and r is the common ratio