Chance Math Example 3

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Example 3

easy
A spinner has 8 equal sections numbered 1–8. Find (a) P(even)P(\text{even}) and (b) P(greater than 5)P(\text{greater than 5}).

Solution

  1. 1
    (a) Even numbers: 2, 4, 6, 8 — four outcomes; P(even)=48=12P(\text{even}) = \frac{4}{8} = \frac{1}{2}
  2. 2
    (b) Greater than 5: 6, 7, 8 — three outcomes; P(>5)=38P(>5) = \frac{3}{8}

Answer

P(even)=12P(\text{even}) = \frac{1}{2}; P(>5)=38P(>5) = \frac{3}{8}
Classical probability counts favorable outcomes among equally likely possibilities. List the sample space, identify favorable outcomes, and divide. Verify: all event probabilities should be between 0 and 1.

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.

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