A Basketball Player Attempts Successive Free Throws Until He Succeeds $( 0.3 ) ^ { n }$

question 39

Short Answer

A basketball player attempts successive free throws until he succeeds in making a basket. Suppose the probability of success of each attempt is 0.7; thus, the probability of exactly n failures before the first success is $( 0.3 ) ^ { n }$ (0.7), n ≥ 0. What is the probability that the number of failures before the first successful free throw is odd? Enter just a reduced fraction.

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Definitions:

Physical Contact

The situation or condition where two or more objects are touching each other or connected in a way that allows for the transfer of electricity, heat, or mechanical forces.

Capacitance

Capacitance is the ability of a system or component to store an electrical charge, measured in Farads, which is a key parameter in designing and understanding electrical and electronic circuits.

Motor Starter Coil

An electromechanical component in a motor starter that creates the magnetic field needed to operate the starter contacts.