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)=2950P(S) = \frac{3}{10} \quad P(S \cup F) = \frac{29}{50}P(S)=103P(S∪F)=5029
Given 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 five regions within the circles and the region outside the circles.
Practise Edexcel A Level Maths Conditional Probability with exam-style questions for A Level Maths. 100 questions covering Set Notation, Conditional Probability, Conditional Probabilities in Venn Diagrams, Probability Formulae, and Tree Diagrams, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.