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Conditional Probabilities in Venn Diagrams

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Question 17

There are 200 students at a sports academy following a training program. Students can choose to participate in three specific workshops:

  • 115 participate in Nutrition (NNN),
  • 85 participate in Psychology (PPP),
  • 90 participate in Bio-mechanics (BBB),
  • 40 participate in Nutrition and Psychology,
  • 30 participate in Psychology and Bio-mechanics,
  • 45 participate in Nutrition and Bio-mechanics,
  • 10 participate in all three workshops.
a.

Draw a Venn diagram to represent this information.

[4]
b.

A student is selected at random from the program. Find the probability that this student participates in:

none of the three workshops,

[2]
c.

Bio-mechanics only.

[2]
d.

Students who want to specialize in high-performance coaching participate in both Psychology and Bio-mechanics. Given that a randomly chosen student wants to specialize in high-performance coaching,

find the probability that this student participates in all three workshops.

[2]

Conditional Probabilities in Venn Diagrams Questions

  1. A Level
  2. /Maths
  3. /Conditional Probabilities in Venn Diagrams

Practise Edexcel A Level Maths Conditional Probabilities in Venn Diagrams with exam-style questions for A Level Maths. 32 questions, 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.

Question bank