MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability
Problem
A class of 50 students has 28 boys and 22 girls. A student is chosen at random.
Answer the following questions.
(i) Explain the meaning of mutually exclusive events and give one example from everyday life (other than this classroom situation).
(ii) With reference to the class described above, state whether the events
A : “the selected student is a boy” and
B : “the selected student is a girl”
are mutually exclusive, exhaustive, both, or neither. Give reasons for your answer.
(iii) Using your conclusion in part (ii), write an algebraic statement for P(A∪B) in terms of P(A) and P(B).