A basketball player has a 0.7 probability of making a free throw. In a practice session, the player takes four independent free throws. What is the probability of making the first two free throws and missing the last two free throws?
Options
A
0.0441
B
0.0882
C
0.147
D
0.2401
Answer & Analysis
Answer
A
Analysis
Question Analysis
This question involves calculating the probability of a specific sequence of four independent events related to a basketball player's free throws.
The main focus is on determining the probabilities of making and missing a free throw and applying the multiplication rule for independent events to find the probability of the given sequence.
Key Concept Explanation
Each free throw is an independent event, meaning the outcome of one free throw does not influence the others.
For independent events, the probability of a specific sequence of events occurring is the product of the probabilities of each individual event, such as
The probability of making a free throw is given, and the probability of missing a free throw can be calculated as (probability of making a free throw).
Step-by-Step Solution
Calculate the probability of making and missing a free throw:
The probability of making a free throw,
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.