14.4 Common Mistakes and Conceptual Pitfalls

Ask AI

Solved Examples

Step 1

  1. Sample Space: S = {HH, HT, TH, TT}. Total = 4.

Step 2

  1. Event: "At least one head" means 1 Head or 2 Heads.

Step 3

  1. Favorable Outcomes:
  • HT (1 Head)
  • TH (1 Head)
  • HH (2 Heads)

Step 4

  1. Count: 3 favorable outcomes.

Step 5

  1. Probability: P=34P = \frac{3}{4}.

Step 6

  1. Alternative Check: P(At least 1 H)=1−P(No Heads)=1−P(TT)=1−1/4=3/4P(\text{At least 1 H}) = 1 - P(\text{No Heads}) = 1 - P(TT) = 1 - 1/4 = 3/4.
Final Answer

3/4

Interactive Solver