Albert Pujols of the St. Louis Cardinals had the highest batting average in the 2003 Major League Baseball season. His average was .359. Assume the probability of getting a hit is .359 each time he batted. In a particular game, he batted three times.

(a) What is the probability of not getting any hits in a game?

(b) What is the probability of getting three hits in a game?

(c) What is the probability of getting at least one hit in a game?

I was recently told that I tested positive for a rare (only affects 1 in 10,000 people) and fatal disease (no known cure or treatment). When we were told the news, my wife was devastated - me, not so much. I asked the doctor how accurate the test is. He indicated it is 98% accurate - when you have the disease, the test is positive 98% of the time and when you do not have the disease, the test is negative 98% of the time. Calculate the probability I have the disease given I have tested positive for the disease (hint: the answer is NOT 98%).