Skip to content
MathsGenie logo
Quick links
Open app

Course home

  1. A Level
  3. Maths WJEC
  5. Question bank

4.1.1 Probability (A-level only)

MediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576777879808182838485868788899091929394959697
Question 97
a.

Given that P(X)=xP(X) = xP(X)=x and P(Y)=yP(Y) = yP(Y)=y, express P(X∪Y)P(X \cup Y)P(X∪Y) in terms of xxx and yyy when: (i) XXX and YYY are mutually exclusive, (ii) XXX and YYY are independent.

[2]
b.

Two events CCC and DDD are such that

P(C∩D′)=0.25,P(D)=0.40andP(C∣D)=0.2 P(C \cap D') = 0.25, \quad P(D) = 0.40 \quad \text{and} \quad P(C|D) = 0.2 P(C∩D′)=0.25,P(D)=0.40andP(C∣D)=0.2

Find the value of: P(C∪D)P(C \cup D)P(C∪D)

[1]
c.

P(C∩D)P(C \cap D)P(C∩D)

[2]
d.

P(C)P(C)P(C)

[2]

4.1.1 Probability (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.1.1 Probability (A-level only)