yapafw

2021-11-17

In a university examination, which was indeed very tough, $50\mathrm{\%}$ at jeast failed in "Statistics",$75\mathrm{\%}$ at least in Topology, $82\mathrm{\%}$ at least in "Functional Analysis" and $96\mathrm{\%}$ at least in "Applied Mathematics". How many at least failed in all the four? (Ans.$3\mathrm{\%}$ )

Warajected53

Beginner2021-11-18Added 12 answers

Given

P(failed in Statistics)

P(failed in Topology)

P(failed in Functional Analysis)

P(failed in Applied Maths)

To find:

How many failed in at least all four

A, B, C and D are said to be independent when :

The probability of failing in at least all four is given by:

P(failed in Statistics

= P(failed in Statistics)

=0. 2952

Therefore,