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09-05-2024
Mathematics

Answered

1. 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 is 0.90.
a. What is the probability that he makes both goals?
b. What is the probability that Carlos makes either the first goal or the second goal?
c. Are A and B independent?
d. Are A and B mutually exclusive?

Answer :

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