When shooting two free throws, if a Red Devil basketball player makes her first free throw, there is a 90% chance that she will make her second free throw. If she misses her first free throw, there is only a 45% chance that she will make her second free throw. Suppose the chance she makes her first free throw is 70%, what is the probability: a) She makes both free throws? b) She misses both free throws? c) She makes exactly one of the two free throws? d) She makes at least one of the free throws? For each of the above, you may enter a calculation that leads to your answer.

When shooting two free throws, the chance that a basketball player makes her first free throw is 70%. If she makes her first free throw, her confidence goes up and there is a 75% chance that she will make her second free throw. But, if she misses her first free throw, her confidence goes down and there is only a 50% chance that she will make her second free throw. Find the probability of each event below. Round each probability to four decimal places. You may find it useful to sketch yourself a tree diagram. (a) she makes both free throws? (b) she misses both free throws? (c) she makes exactly one of the two free throws? (d) she makes at least one of the free throws?

Samantha makes 65% of all free throws she attempts. What is the probability she will miss her next shot?

Carlos plays college soccer. He makes a goal 65% of the time he shoots. Carlos is going to attempt two goals in a row in the next game. A = the event Carlos is successful on his first attempt. P(A) = 0.65. B = the event Carlos is successful on his second attempt. P(B) = 0.65. Carlos tends to shoot in streaks. The probability that he makes the second goal given that he made the first goal P(B/A ) is 0.90. What is the probability that he makes both goals P (A and B)?

A coach is examining two basketball players’ free-throw percentages over the last few games. Bob made 34 out of 85 shots and Joe made 72 out of 125 shots. The coach wants to know if Bob is a 10% worse free-throw shooter than Joe. Which of the following would be the p-value of the corresponding test?Multiple Choice0.27280.13640.45440.4322

31. Sephen is practising basketball penalty shots. The probability that he scores in the firet attempt is 0.75 and each subsequent attempt that he makes is affected by the previous one. The probability that he scores in thenext penalty shot is 0.8 if he scores in the previous one. The probabiliny that he scores in the next penalty shotis 0.45 if he does not score in the previous one. Find the probability that (a) he scores in the first two shots. B.he scores at least once in the first two shots, C.he does not score until his fourth shot. 34. Terry puts three different letters randomly in three envelopes with different addresses, Find the probability thatat least one letter is put in the envelope with correct address.