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2.3 M: Probability

2.3 M: Probability

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Question 80

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 are exactly those who 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]
Markscheme

2.3 M: Probability Questions

  1. A Level
  2. /Maths
  3. /2.3 M: Probability

198 exam-style questions on AQA A Level Maths 2.3 M: Probability, covering 2.3.1 Mutually exclusive and independent events, 2.3.2 Conditional probability (A-level only), 2.3.3 Modelling with probability (A-level only), and 2.3 M: Probability. Each one has a worked solution and a mark scheme showing where the marks go.

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