Question

Helen plays basketball. For free throws, she makes the shot 75% of the time. Helen must now attempt two free throws. C = the event that Helen makes the first shot. D = the event Helen makes the second shot. The probability that Helen makes the second free throw given that she made the first is 0.85. Note: Makes the shot means she scores a) Calculate P(C); P(D); P(D|C) b) What is the probability that Helen makes both free throws (the first and second throw)? c) What is the probability that Helen scores either the first or second throw? d) Are C and D independent events? Are they Mutually Exclusive? Justify your answer.

          Helen plays basketball. For free throws, she makes the shot 75% of the time. Helen must now attempt two free throws. C = the event that Helen makes the first shot. D = the event Helen makes the second shot. The probability that Helen makes the second free throw given that she made the first is 0.85.
Note: Makes the shot means she scores
a) Calculate P(C); P(D); P(D|C)
b) What is the probability that Helen makes both free throws (the first and second throw)?
c) What is the probability that Helen scores either the first or second throw?
d) Are C and D independent events? Are they Mutually Exclusive? Justify your answer.

Helen plays basketball. For free throws, she makes the shot 75% of the time. Helen must now attempt two free throws. C = the event that Helen makes the first shot. D = the event Helen makes the second shot. The probability that Helen makes the second free throw given that she made the first is 0.85.
Note: Makes the shot means she scores
a) Calculate P(C); P(D); P(D|C)
b) What is the probability that Helen makes both free throws (the first and second throw)?
c) What is the probability that Helen scores either the first or second throw?
d) Are C and D independent events? Are they Mutually Exclusive? Justify your answer.

Added by Alexander H.

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