Conditional Probability

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An office manager conducts a survey of 80 employees to determine their morning beverage preferences: Coffee ( $C$ ), Tea ( $T$ ), or Juice ( $J$ ).

No employee drinks both Coffee and Juice.
8 employees drink both Coffee and Tea.
28 employees drink Coffee in total.
32 employees drink Tea in total.
24 employees drink Juice in total.
12 employees do not drink any of these three beverages.

An employee is selected at random from the survey.

Draw a Venn diagram to represent this data.

[3]

State, giving a reason, a pair of mutually exclusive events from $T,\,$ and $J$ .

[2]

Calculate the probability that the chosen employee drinks exactly two of these beverages.

[2]

Showing your working clearly, determine whether or not the events $C\,$ and $T\,$ are independent.

[3]

Given that an employee drinks Tea, find the probability that they also drink Juice.

[2]

Find the exact value of $\cup J]|T')$ .

[3]

Conditional Probability Questions

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.