Acollege basketball player makes 80% of his free throws. at the end of a game, his team is losing by two points. he is fouled attempting a three-point shot and is awarded three free throws. assuming free throw attempts are independent, what is the probability that he makes at least two of the free throws?

.. P(at least 2 of 3 baskets) 
= P(2 of 3 baskets) + P(3 of 3 baskets) 
= (basket)(basket)(no basket) + (basket)(no basket)(basket) + (no basket)(basket)(basket) + (basket)(basket)(basket) 
= (0.8)(0.8)(0.2) + (0.8)(0.2)(0.8) + (0.2)(0.8)(0.8) + (0.8)(0.8)(0.8) 
= 3(0.8)(0.8)(0.2) + 0.8^3 
= 0.384 + 0.512 
= 0.896 

QED.