Nina plays college soccer; she makes a goal 40 % 40 % of the time he shoots. Nina is going to attempt two goals in a row in the next game. Letting A = A = the event Nina is successful on her first attempt, P ( A ) = 0.4 P ( A ) = 0.4 . Letting B = B = the event Nina is successful on her second attempt, P ( B ) = 0.4 P ( B ) = 0.4 . Nina tends to shoot in streaks. The probability that she makes the second goal given that she made the first goal is 0.6 0.6 . a) What is the probability that Nina makes both goals? b) What is the probability that Nina makes either the first goal or the second goal?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 54SE: Use the following scenario for the exercises that follow: In the game of Keno, a player starts by...
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Nina plays college soccer; she makes a goal 40 % 40 % of the time he shoots. Nina is going to attempt two goals in a row in the next game. Letting A = A = the event Nina is successful on her first attempt, P ( A ) = 0.4 P ( A ) = 0.4 . Letting B = B = the event Nina is successful on her second attempt, P ( B ) = 0.4 P ( B ) = 0.4 . Nina tends to shoot in streaks. The probability that she makes the second goal given that she made the first goal is 0.6 0.6 . a) What is the probability that Nina makes both goals? b) What is the probability that Nina makes either the first goal or the second goal?
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