A group of office workers were questioned for a health magazine and 25\displaystyle \frac{2}{5}52 were found to take regular exercise. When questioned about their eating habits 23\displaystyle \frac{2}{3}32 said they always eat breakfast and, of those who always eat breakfast 925\displaystyle \frac{9}{25}259 also took regular exercise.
Find the probability that a randomly selected member of the group always eats breakfast and takes regular exercise.
Find the probability that a randomly selected member of the group does not always eat breakfast and does not take regular exercise.
Determine, giving your reason, whether or not always eating breakfast and taking regular exercise are statistically independent.
Practise Edexcel A Level Old Maths Probability with exam-style questions for A Level Old Maths. 11 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) 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.