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4.1.1 Probability (A-level only)

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Question 72
a.

Two events EEE and FFF have probabilities P(E)=pP(E) = pP(E)=p and P(F)=qP(F) = qP(F)=q. Express P(E∪F)P(E \cup F)P(E∪F) in terms of ppp and qqq when: (i) EEE and FFF are mutually exclusive, (ii) EEE and FFF are independent.

[2]
b.

In a soil quality assessment, let AAA be the event that a sample contains Lead and BBB be the event that it contains Mercury. It is known that

P(A∩B′)=0.45,P(B)=0.35andP(A∣B)=0.6 P(A \cap B') = 0.45, \quad P(B) = 0.35 \quad \text{and} \quad P(A|B) = 0.6 P(A∩B′)=0.45,P(B)=0.35andP(A∣B)=0.6

Find the value of: P(A∪B)P(A \cup B)P(A∪B)

[2]
c.

P(A∩B)P(A \cap B)P(A∩B)

[2]
d.

P(A)P(A)P(A)

[2]

4.1.1 Probability (A-level only) Questions

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