Question 659278
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
Re TY
(54-35) = 19, Statistics only
(69-35) = 34, finance only
 19 + 34 =53,  Statistics only or finance only
100 - 19 - 35 - 34 = 12, those who take neither
100 students, 54 studied Statistics, 69 studied Finance and 35 studied both subjects
{{{drawing(300,300,-4,4,-5,4,
rectangle(-4,-1.6,4,4), locate(-2,1.8,19),locate(1.5,1.7,34),
locate(-3.7,-1,12),
 locate(-3.5,2.5,S), locate(-.1,1.8,35),
circle(-sqrt(2),sqrt(2),2),locate(3.5,2.5,F),
circle(sqrt(2),sqrt(2),2))}}}
P(S OR F) = {{{53/100}}}
P(neither) = {{{12/100 = 3/25}}}
P(F but not S) = {{{34/100 = 17/50}}}