A university has analyzed the results of 1,000 students after the first year examinations. The result of the analysis is summarized below

	Types of sponsorship
Examination results	Government	Private	Church
Students who were to be discontinued	155	150	105
Students who passed the examination	180	195	170
Students who were to sit for a supplementary paper	20	5	20

Required

The probability that a student was discontinued or was required to sit for a supplementary paper (1mark)

The probability that a student was a government sponsored (1mark)

The probability that a privately sponsored student passed the examination (2marks)

The probability that a student was church sponsored and was required to sit for a supplementary paper (2marks)

The probability that a student was a government sponsored or church sponsored given that the student failed the examination (2marks)

The probability that a student passed or was to sit for a supplementary paper given that the student was sponsored by the government