Skip to content

Course home

Sign up

Conditional Probability

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275
Question 206

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

a.

Verify that P(A′∩B′)=0.3P(A' \cap B') = 0.3P(A′∩B′)=0.3

[2]
b.

Verify that P(A′∩B)=0.4P(A' \cap B) = 0.4P(A′∩B)=0.4

[2]
c.

Given also that the events A and B are independent, verify that P(B)=47\displaystyle P(B) = \frac{4}{7}P(B)=74​

[4]
d.

Verify that P(A′∪B′)=2935\displaystyle P(A' \cup B') = \frac{29}{35}P(A′∪B′)=3529​

[2]
Markscheme

Conditional Probability Questions

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

368 exam-style questions on Edexcel A Level Maths Conditional Probability, covering 2.1 Set Notation, 2.2 Conditional Probability, 2.3 Conditional Probabilities in Venn Diagrams, 2.4 Probability Formulae, and 2.5 Tree Diagrams. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank