Math Problem Statement

There are 2 red, 3 blue and 5 black balls in a bag. A ball is drawn from the bag without looking in to the bag. What is the probability of getting a red ball?

Solution

To find the probability of drawing a red ball, we use the formula for probability:

P(Red)=Number of red ballsTotal number of ballsP(\text{Red}) = \frac{\text{Number of red balls}}{\text{Total number of balls}}

Given:

  • Red balls = 2
  • Blue balls = 3
  • Black balls = 5

Total number of balls:

2+3+5=102 + 3 + 5 = 10

So, the probability of drawing a red ball is:

P(Red)=210=15P(\text{Red}) = \frac{2}{10} = \frac{1}{5}

Therefore, the probability of drawing a red ball is 15\frac{1}{5}.

Would you like a more detailed explanation or any further questions on this topic? Here are some related questions:

  1. What is the probability of drawing a blue ball?
  2. How does probability change if the number of balls in the bag is increased?
  3. What is the probability of not drawing a red ball?
  4. How would the probability change if one red ball is removed before drawing?
  5. How can the concept of replacement affect the probability calculation?

Tip: When calculating probability, always make sure to add up the total number of outcomes before calculating the probability of a specific event.

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Math Problem Analysis

Mathematical Concepts

Probability
Ratio

Formulas

P(Event) = Number of favorable outcomes / Total number of outcomes

Theorems

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Suitable Grade Level

Grades 4-6