Question: Three friends start Higher Education courses at the same time in the same institution. Angela is studying Accounting, Bashir is studying Business and Charlie is
Three friends start Higher Education courses at the same time in the same institution.
Angela is studying Accounting, Bashir is studying Business and Charlie is studying Computing. Seventy per cent of students who begin the Accounting course complete it successfully, 80 per cent of students who begin the Business course complete it successfully, and 60 per cent of students who begin the Computing course complete it successfully. Construct a tree diagram and use it to work out:
The probability that all three friends successfully complete their courses.
The probability that two of the friends successfully complete their courses.
The probability that only one of the friends successfully completes their course.
We will use A to represent Angela, B for Bashir and C for Charlie. To indicate someone failing their course we will use the appropriate letter followed by a ‘mark, so A’
represents the outcome that Angela fails her course, whereas A alone represents the outcome that Angela completes her course successfully.
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