Math Problem Statement

The box contains 18 identical balls of white color, 27 of red color and 15 of green color. What is the probability that a green ball will be removed from the box?

0,3

0,45

0,25

0,07

Solution

To solve this, we need to calculate the probability of randomly selecting a green ball from the box.

Step-by-step breakdown:

  1. Total number of balls in the box:

    • White balls = 18
    • Red balls = 27
    • Green balls = 15

    The total number of balls is: Total=18+27+15=60\text{Total} = 18 + 27 + 15 = 60

  2. Number of green balls = 15.

  3. Probability formula: The probability of selecting a green ball is the ratio of the number of green balls to the total number of balls: P(Green)=Number of Green BallsTotal Number of Balls=1560=0.25P(\text{Green}) = \frac{\text{Number of Green Balls}}{\text{Total Number of Balls}} = \frac{15}{60} = 0.25

Conclusion:

The probability of selecting a green ball is 0.25.

Would you like more details on this or any other clarifications?


Here are 5 related questions:

  1. What is the probability of selecting a red ball?
  2. What is the probability of selecting a white ball?
  3. What is the probability of not selecting a green ball?
  4. If 3 balls are removed, what is the new probability of selecting a green ball?
  5. What if another color of balls is added to the box?

Tip: Probabilities always sum to 1 for all possible outcomes in an experiment!

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Math Problem Analysis

Mathematical Concepts

Probability
Ratios

Formulas

Probability = (Number of favorable outcomes) / (Total number of outcomes)

Theorems

Basic Probability Theorem

Suitable Grade Level

Grades 6-8