A carnival game involves drawing two bills from a bag there are one dollar bills 35 dollar bills and two $10 bills. What is the probability of drawing two $10 bills if the events are independent

The probability of drawing a $10 bill on the first draw is 2/38, since there are 2 $10 bills out of a total of 38 bills. After the first draw, there is one less $10 bill and one less bill in total, so the probability of drawing a $10 bill on the second draw is 1/37.

Since the events are independent, we can multiply the probabilities together:
(2/38) * (1/37) = 2/1406

Therefore, the probability of drawing two $10 bills from the bag is 2/1406.