MYP 5Year 11Term 1

Sport – Conditional Probability and Decision-Making

Probability

Statement of inquiry

Aspects of the physical action of humans can be modelled and analysed mathematically.

Assessed against

The MYP criteria this unit is marked against.

What this unit covers

The sub-topics taught, in the order the department teaches them.

15 objectives

What students should be able to do by the end of this unit.

0 / 7 ticked

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Identify number sets, use interval notation, and understand subsets and complements.
Use set notation for union ($\cup$), intersection ($\cap$), complement ($A'$) and the universal set.
Use 2-set Venn diagrams to represent relationships between sets and solve count problems.
Use 3-set Venn diagrams and the inclusion–exclusion principle.
Determine and describe sample spaces using lists, tables, 2D grids and Venn diagrams.
Translate between worded descriptions of events and set notation.
Shade regions of a Venn diagram for given set expressions, including De Morgan's laws.EXT

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Understand experimental and theoretical probability and express results as fractions, decimals or percentages.
Use compound events with tree diagrams (with and without replacement) and two-way tables.
Calculate the probability of unions using $P(A \cup B) = P(A) + P(B) - P(A \cap B)$.

0 / 5 ticked

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Understand and calculate conditional probability using $P(B \mid A) = \dfrac{P(A \cap B)}{P(A)}$.
Identify and test for mutually exclusive events ($P(A \cap B) = 0$).
Identify and test for independent events ($P(A \cap B) = P(A) \cdot P(B)$).
Solve problems combining Venn diagrams, tree diagrams and conditional probability.
Understand factorial notation, permutations and combinations.ENR

Review pack

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