Math Problem Statement

List the Event #s in order from largest to smallest, according to their probabilities.

Solution

Let's compare the probabilities for each event and order them from largest to smallest.

Probabilities Breakdown:

  1. Event 1: 47110\frac{47}{110}

    • Probability = 47110=0.427\frac{47}{110} = 0.427
  2. Event 2: 0.30.3

  3. Event 3: 32.9%32.9\%

    • Probability = 0.3290.329
  4. Event 4: 135225\frac{135}{225}

    • Probability = 135225=0.6\frac{135}{225} = 0.6

Order from largest to smallest:

  • Event 4: 0.60.6
  • Event 1: 0.4270.427
  • Event 3: 0.3290.329
  • Event 2: 0.30.3

So, the correct order is 4, 1, 3, 2.

Would you like more details on the calculations or have any questions?

5 Related Questions:

  1. How do you convert fractions to decimal probabilities?
  2. What is the difference between a probability expressed as a fraction and a percentage?
  3. How can you compare probabilities when they are given in different forms (fractions, decimals, percentages)?
  4. What are the common methods for ranking probabilities in a data set?
  5. How does probability help in predicting real-life outcomes?

Tip:

When comparing probabilities in different formats, always convert them to the same format (decimals, percentages, or fractions) to avoid confusion.

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Math Problem Analysis

Mathematical Concepts

Probability
Fractions to Decimals
Percentage Comparison

Formulas

Fraction to Decimal: a/b = a ÷ b
Percentage to Decimal: x% = x ÷ 100

Theorems

Probability Theory

Suitable Grade Level

Grades 6-8