In a survey of exotic plants in a botanical garden, the events S S\,S and F F\,F are defined as follows: S S\,S is the event that a plant is a succulent and F F\,F is the event that a plant is a flowering species. The probabilities are given by
P(S)=310P(S∪F)=2950 P(S) = \frac{3}{10} \quad P(S \cup F) = \frac{29}{50} P(S)=103P(S∪F)=5029Given that S S\,S and F F\,F are independent,
show that P(F)=25\displaystyle P(F) = \frac{2}{5}P(F)=52
The event X X\,X represents the plant belonging to a rare genus such that
P(X)=0.06P(S∩X)=P(X) P(X) = 0.06 \quad P(S \cap X) = P(X) P(X)=0.06P(S∩X)=P(X)Find P(X′∣S)P(X' | S)P(X′∣S)
Given that F F\,F and X X\,X are mutually exclusive,
draw a Venn diagram to represent the events SSS, FFF, and XXX, giving the exact probabilities of each of the four regions within the circles and the region outside the circles.
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.