Skip to content
MathsGenie logo
Open app

Course home

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

Conditional Probability

MediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374757677787980818283848586878889909192939495969798
Question 37

The events A A\,A and B B\,B are such that P(A)=0.3P(A) = 0.3P(A)=0.3 and P(A∪B)=0.7P(A \cup B) = 0.7P(A∪B)=0.7.

a.

Find P(A′∩B′)P(A' \cap B')P(A′∩B′).

[2]
b.

Find P(A′∩B)P(A' \cap B)P(A′∩B).

[2]
c.

Given also that the events A A\,A and B B\,B are independent, find P(B)P(B)P(B).

[4]
d.

Find P(A′∪B′)P(A' \cup B')P(A′∪B′).

[2]

Conditional Probability Questions

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