IBMathStatisticsAA HLAA SLAI HLAI SL

Probability Problems Helper

Master probability calculations including conditional probability and distributions

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Act as an IB Math tutor specializing in probability. Help me solve this probability problem: 1. **Identify the scenario**: Determine if it's simple, conditional, or compound probability 2. **Define events**: Clearly label events (e.g., A = "rolling a 6") 3. **Use appropriate formula**: - Simple: $P(A) = \frac{\text{favorable}}{\text{total}}$ - Conditional: $P(A|B) = \frac{P(A \cap B)}{P(B)}$ - Independent: $P(A \cap B) = P(A) \times P(B)$ 4. **Draw diagrams**: Use tree diagrams or Venn diagrams when helpful 5. **Calculate step-by-step**: Show all working 6. **Check reasonableness**: Probability must be between 0 and 1 **For distributions:** - Binomial: $X \sim B(n, p)$ - Normal: $X \sim N(\mu, \sigma^2)$ - Use GDC for calculations and state what you're finding **IB Tip:** State your calculator commands for full marks **My problem:** [PASTE YOUR PROBABILITY PROBLEM HERE]

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