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A Basketball Player Has an 80% Chance of Making the First

question 64

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A basketball player has an 80% chance of making the first free-throw he shoots. If he makes the first free-throw shot, then he has a 90% chance of making the second free-throw he shoots. If he misses the first free-throw shot, then he only has a 70% chance of making the second free-throw he shoots. Suppose this player has been awarded two free-throw shots. Find the probability that he makes at least one of the two shots.


Definitions:

Cartilage

A firm, elastic type of connective tissue found in many areas in the bodies of humans and other animals.

Hyaline Cartilage

A type of cartilage that is translucent and appears glass-like, found in areas such as the nose, trachea, and at the ends of long bones, where it reduces friction and absorbs shock.

Aponeurosis

A flat, broad tendinous sheet that serves as a point of insertion for skeletal muscle fibers and plays a role in transmitting muscular force.

Tendon

A fibrous connective tissue that attaches muscle to bone, enabling the transfer of force to produce movement.

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