John made 84 baskets out of 200 shots during the season up until tonight's basketball game. He figures he'll get a chance to shoot about 20 times tonight. What percentage must he make in tonight's game to raise his shooting percentage to exactly 45% for the season? (Shooting percentage is determined by dividing the number of baskets hit, by the number of shots taken.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

John made 84 baskets out of 200 shots during the season up until tonight's basketball game. He figures he'll get a chance to shoot about 20 times tonight. What percentage must he make in tonight's game to raise his shooting percentage to exactly 45% for the season? (Shooting percentage is determined by dividing the number of baskets hit, by the number of shots taken.)

Expert Solution
Step 1

Given that John made 84 baskets out of 200 shots during the season up until tonight's basketball game.

He'll get a chance to shoot about 20 times tonight. So the total number of shots= 200×20=4000

Let he will have to basket x times. 

 

So total number of shots = 200+4000= 4200

And the total number of baskets= 84+x

 

 

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON