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AS Unit 2 Applied Mathematics A

Quick questions on Probability: Venn diagrams, addition and multiplication rules - WJEC A-Level Maths

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What are probability of events?
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The probability of an event AA is P(A)=favourable outcomestotal outcomesP(A) = \dfrac{\text{favourable outcomes}}{\text{total outcomes}} for equally likely outcomes, with 0P(A)10 \le P(A) \le 1. The complement rule gives P(not A)=1P(A)P(\text{not } A) = 1 - P(A), which is often the quickest route to "at least one" probabilities.
What is q1?
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P(A)=0.6P(A) = 0.6 and P(A)P(A') is its complement. Find P(A)P(A'). [1 mark]
What is q2?
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Two fair coins are tossed. Find the probability of exactly one head. [2 marks]
What is q3?
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Events AA and BB are mutually exclusive with P(A)=0.3P(A) = 0.3, P(B)=0.45P(B) = 0.45. Find P(AB)P(A \cup B). [2 marks]

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