Chance Math Example 1

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Example 1

easy
A bag contains 3 red, 2 blue, and 5 green marbles. Find the probability of randomly drawing a red marble and express it as a fraction, decimal, and percentage.

Solution

  1. 1
    Total marbles: 3+2+5=103 + 2 + 5 = 10
  2. 2
    Favorable outcomes: 3 (red marbles)
  3. 3
    Probability: P(Red)=310P(\text{Red}) = \frac{3}{10}
  4. 4
    As decimal: 0.300.30; as percentage: 30%30\%

Answer

P(Red)=310=0.30=30%P(\text{Red}) = \frac{3}{10} = 0.30 = 30\%
Probability quantifies chance as the ratio of favorable outcomes to total equally likely outcomes. All three representations (fraction, decimal, percent) are equivalent — use whichever is clearest for the context.

About Chance

Chance describes the inherent randomness in outcomes of experiments — the fact that even with complete knowledge, some events cannot be predicted with certainty.

Learn more about Chance →

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Example 2 medium

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Example 3 easy

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Example 4 hard

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