Skip to content

Course home

2.3 Probability

2.3 Probability

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163
Question 158

A survey of 50 students was conducted to see if they played Football, Basketball, or Tennis.

  • No student played both Football and Tennis
  • 4 students played both Football and Basketball
  • 15 students played Football
  • 18 students played Basketball
  • 14 students played Tennis
  • 12 students did not play any of these sports

A student from this survey is chosen at random.

FFF represents the event that the student plays Football BBB represents the event that the student plays Basketball TTT represents the event that the student plays Tennis

a.

Draw a Venn diagram to illustrate this information.

[3]
b.

State, giving a reason, a pair of mutually exclusive events from F,BF, BF,B and TTT.

[2]
c.

Find the probability that the student plays exactly 2 of these sports.

[2]
d.

Showing your working clearly, determine whether or not the events FFF and BBB are independent.

[2]
e.

Given that a student plays Basketball, find the probability that they also play Tennis.

[2]
f.

Find the exact value of P([F∪T]∣B′)P([F \cup T]|B')P([F∪T]∣B′).

[3]
Markscheme

2.3 Probability Questions

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

200 exam-style questions on OCR (MEI) A Level Maths 2.3 Probability, covering 2.3.1 Calculate the probability of an event, 2.3.2 Complementary events, 2.3.3 Expected frequency of an event, 2.3.4 Diagrams to calculate probabilities, 2.3.5 Mutually exclusive and independent events, 2.3.6 Add probabilities for mutually exclusive events, 2.3.7 Multiply probabilities for independent events, 2.3.8 Mutually exclusive and independent events (notation) (A-level only), 2.3.9 Venn diagrams for probabilities (A-level only), 2.3.10 Conditional probabilities (A-level only), and 2.3.11 Independence via conditional probability (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank