Skip to content
MathsGenie logo
Open app

Course home

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

Conditional Probability

MediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374757677787980818283848586878889909192939495969798
Question 11

The events X X\,X and Y Y\,Y are such that P(X)=0.4P(X) = 0.4P(X)=0.4 and P(X∪Y)=0.8P(X \cup Y) = 0.8P(X∪Y)=0.8.

a.

Find P(X′∩Y′)P(X' \cap Y')P(X′∩Y′).

[2]
b.

Find P(X′∩Y)P(X' \cap Y)P(X′∩Y).

[2]
c.

Given also that the events X X\,X and Y Y\,Y are independent, find P(Y)P(Y)P(Y).

[4]
d.

Find P(X′∪Y′)P(X' \cup Y')P(X′∪Y′).

[2]

Conditional Probability Questions

  1. A Level
  2. /Maths
  3. /Conditional Probability