A-Level Maths | Probability

• Independent: A and B are statistically independent if
  • P(A∩B) = P(A) x P(B)
• Mutually exclusive: A and B are mutually exclusive if
  • P(A∩B) = 0
• P(A): the probability of A happening
• P(A'): the probability of A not happening
• P(A∩B): the probability of A and B happening
• P(AUB): the probability of only A happening, or only B happening, or both A and B happening
• P(A|B): the probability of A happening given that we know B has already happened

Venn Diagrams

Question 1

Question 2

Question 3

Conditional Probability in Venn Diagrams

Question 4

Question 5

Question 6

Question 7

Probability Tree Diagrams

Question 8

Finding combinations

Question 9

Question 10

Question 11

Question 12

Conditional Probability in Tree Diagrams

Question 13

Question 14

Question 15