Problem Solving (Leaving Cert Mathematics): Flashcards

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Problem Solving
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Three main focuses of probability problem-solving

Calculate probabilities, interpret data, solve real-life problems

Step 1 of problem solving

Understand the problem: identify question and relevant data

Step 2 of problem solving

Model mathematically: use diagrams, equations, or formulas

Step 3 of problem solving

Apply appropriate techniques: use probability rules, calculate

Step 4 of problem solving

Verify and interpret: check calculations, relate to problem

Formula for independent events (multiplication rule)

P(A∩B)=P(A)×P(B)P(A \cap B) = P(A) \times P(B)

P(rolling 44 and flipping heads)

112\frac{1}{12}

ZZ-score formula

Z=X−μσZ = \frac{X - \mu}{\sigma}

ZZ-score when X=65X=65, μ=50\mu=50, σ=10\sigma=10

1.51.5

P(value < 6565) when μ=50\mu=50, σ=10\sigma=10 using ZZ-table

0.93320.9332 or 93.32%93.32\%

Two key probability rules for problem solving

Addition and multiplication rules

Four key steps in problem solving (summary)

Understand, model mathematically, apply techniques, verify

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