IB Maths AA HL 4.11 Formal conditional probability Question Bank

Practise IB Mathematics SL/HL 4.11 by applying formal conditional probability methods to exam-style questions.

Exam points

identify the mathematical structure, variable or representation
select and apply the correct theorem, formula or algorithm
check the result using units, domain, graph or logical reasoning

[Maximum number: 3]

The random variable X has probability distribution $\operatorname{Po}(8)$ .

Find $\mathrm{P}(X=6 \mid 5 \leq X \leq 8)$ .

$\mathrm{P}(X=6 \mid 5 \leq X \leq 8)=\frac{\mathrm{P}(X=6)}{\mathrm{P}(5 \leq X \leq 8)}=\frac{0.122 \ldots}{0.592 \ldots-0.0996 \ldots} =0.248$
(M1)(A1)
A1

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SL 4.11—Formal conditional probability question 1