Suppose one NBA player can get one point in each free shot with probability 0.8. Now he has five times of free shots and it is reasonable to assume that the result in each shot has no impact on other shots. (b) What is the probability of his getting 3 points? (c) What is the probability of his getting at least 2 points? (d) we define an unusual event if the chance of the event is below 5%. Is it an unusual event that he lost all his shots? please explain each step fully

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Suppose that Stephen makes 95% of his free throws. Assume that late in a basketball game, he is fouled and is awarded two shots. (a) What is the probability that he will make both shots? (b) What is the probability that he will make at least one shot? (c) What is the probability that he will miss both shots? (d) Late in a basketball game, a team often intentionally fouls an opposing player in order to stop the game clock. The usual strategy is to intentionally foul the other team's worst free- throw shooter. Assume that Stephen's team's center makes 57% of his free-throw shots. Calculate the probabilities for the center as shown in parts (a), (b), and (c). Assume as in parts (a), (b), and (c) that two shots will be awarded. P(center makes two shots) = P(center makes at least one shot) = P(center misses both shots) =

You are the webmaster for your firm's website. From your records, you know that the probability that a visitor will buy something from your firm is 0.26. In one day, the number of visitors is 1050. If the visitors' traffic is more than the expected for the day, what is the probability that at least 10 more than the expected visitors will buy something from the firm?

If you roll a dice once, what’s the probability that it will show an even number? An odd number?

When a pair of dice is​ rolled, what is the probability that the sum of the dice is 11​, given that the outcome is not 6​?

What is the relationship between two events if the conditional probability is equal to the "unconditional" probability?  That is: if P(A|B) = P(A)?