Your 10 year old cousin, Carl, plays city league youth soccer.

He makes a goal 65% of the time he shoots.

He is going to attempt two goals in a row in the next game.

Let A = the event he is successful on his first attempt. P(A) = 0:65 or 65%

Let B = the event he is successful on his second attempt. P(B) = 0:65 or 65%

Since he is always encouraged by making a first goal, let the probability that he makes the second goal GIVEN that he made the first goal is P(A|B) = 0.90 or 90%

In a Microsoft Word document,answerthe following questions. Be certain to include your name, date, and assignment information in your document:

Problem 1:What is the probability that he makes both goals?

Problem 2:What is the probability that he makes either the first goal or the second goal?

Problem 3:Are A and B independent? Please provide reasoning for your answer.

Problem 4:Are A and B mutually exclusive? Please provide reasoning for your answer.