An investor owns three common stocks. Each stock, independent of the others, has equally likely chances of (1) increasing in value, (2) decreasing in value, or (3) remaining the same in value. List the possible outcomes of this experiment. Estimate the probability at least two of the stocks increase in value.

A surgical technique is performed on seven patients. The technique has a 70% chance of success. Find the probability that the surgery is successful for at least five patients.

Gg.94.   According to Baseball Insider Magazine 25% of major league pitchers are left-handed. A recent report shows that 60% of left-handed pitcher undergo rotator cuff surgery, while 30% of right-handed pitchers undergo rotator cuff surgery. If a major league pitcher underwent rotator cuff surgery yesterday afternoon, what is the probability that this pitcher was right-handed and underwent rotator cuff surgery?

You are analysing a factory. Stage 3 of the manufacturing process has a 70% chance of finishing on time. If it does finish on time, the chance of Stage 4 finishing late is 25%. The overall chance of Stage 4 finishing on time is 64.875%. What is the chance that Stage 4 finishes late if Stage 3 finished late?