there are five red balls, three yellow balls, and four green balls in a bin. In each event, you pick one ball from the bin and observe the color of the ball. The balls are only distinguishable with their colors. After observation, you put the ball back into the bin.
What is the information entropy for one event (pick ball once) in bits? Express your answer upto three decimal digits.
Answers
Given : five red balls, three yellow balls, and four green balls in a bin. pick one ball from the bin and observe the color of the ball.
To find : Probability of each ball
Solution:
Red Balls = 5
Yellow Balls = 3
Green Balls = 4
Total Balls = 5 + 3 + 4 = 12
Probability of Red Ball = Number of Red Balls / Total Balls
=>Probability of Red Ball = 5/12 = 0.417
Probability of Yellow Ball = Number of Yellow Balls / Total Balls
=>Probability of Yellow Ball = 3/12 = 1/4 = 0.250
Probability of Green Ball = Number of Green Balls / Total Balls
=>Probability of Green Ball = 4/12 = 1/3 = 0.333
Learn more:
Shikha has 18 red balls and 9 green balls. She chooses a ball ...
https://brainly.in/question/13987168
A bag contains 35 balls out of which x are blue. if one ball is drwan ...
https://brainly.in/question/2391879
Answer:
Step-by-step explanation:
Given : five red balls, three yellow balls, and four green balls in a bin. pick one ball from the bin and observe the color of the ball.
To find : Probability of each ball
Solution:
Red Balls = 5
Yellow Balls = 3
Green Balls = 4
Total Balls = 5 + 3 + 4 = 12
Probability of Red Ball = Number of Red Balls / Total Balls
=>Probability of Red Ball = 5/12 = 0.417
Probability of Yellow Ball = Number of Yellow Balls / Total Balls
=>Probability of Yellow Ball = 3/12 = 1/4 = 0.250
Probability of Green Ball = Number of Green Balls / Total Balls
=>Probability of Green Ball = 4/12 = 1/3 = 0.333