In the diagram,O is the centre of the circle ABC
and <BCA=41°. Find
(i) <BOA (ii) <BAO
​

a) Pr.  that Christine fails the course = 0.271

b) Probability that she finds a tutor given she ends failing the course or failed  = 0.2542

Step-by-step explanation:

                            With Tutor                 Without Tutor

Fail                        13%  =  0.13                 43%   = 0.43

Find Tutor              53%   = 0.53

a) Probability that Christine fails the course =  Pr. that (she fails with tutor) × Pr. (that she fails without tutor)

Pr.  that Christine fails the course = (0.53 × 0.13) + ( 0.47 × 0.43)

Pr.  that Christine fails the course = 0.0689 + 0.2021

Pr.  that Christine fails the course = 0.271

b)

Probability that she finds a tutor given she ends failing the course or failed =

= 0.2542