Skip to content
MathsGenie logo
Open app

Course home

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

Conditional Probability

MediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374757677787980818283848586878889909192939495969798
Question 10

The events A A\,A and B B\,B are such that P(A)=0.4P(A) = 0.4P(A)=0.4, P(B)=0.5P(B) = 0.5P(B)=0.5 and P(A∣B)=0.3P(A|B) = 0.3P(A∣B)=0.3. Find

a.

P(A∩B)P(A \cap B)P(A∩B)

[2]
b.

P(B′∣A)P(B'|A)P(B′∣A)

[3]
c.

P(A′∪B)P(A' \cup B)P(A′∪B)

[2]
d.

Determine whether the events A A\,A and B B\,B are independent, give a reason for your answer.

[3]

Conditional Probability Questions

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