P(A)=0.2, P(A|B) = 0.3 and P(AuB)=0.6. Find i P(B) ii P(B'|A')

i. P(AuB) = P(A) + P(B) - P(AnB) 

P(AnB) = P(A|B)P(B) = 0.3P(B)

P(AuB) = P(A) + 0.7 P(B) --> 0.6 = 0.2 + 0.7 P(B) --> P(B) = 4/7

ii. P(B'|A') = P(A'nB')/P(A')

P(A'nB') = 1 - P(AuB)

P(B'|A') = 0.4/0.8 = 1/2

WS
Answered by Will S. Further Mathematics tutor

8916 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

A curve C has equation y = x^2 − 2x − 24 x^(1/2), x > 0. Find dy/dx and d^2y/dx^2. Verify that C has a stationary point when x = 4


Can you show me how to solve first order differential equations using the integrating factor method?


Integrate cos(4x)sin(x)


How do you show that the centre of a group is a subgroup


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences