Question (Coordinate Geometry) [URGENT]

Q.1 If (3,2) (6,3) (x,y) and (6,5) are the vertices of a parallelogram, then find the value of x+y
Sol.
Q.2 Find the distance between (a,a) and (-√3a,√3a)
Sol.
Q.3 Find if the given points are collinear or not: A(b+a,c) B(c+a,b) C(c+b,a) (Use "If area of triangle is equal to 0 then points are collinear" method)
Sol.

Question.1 (Probability) [SOLVED]

Q.1 What is the probability of having 53 Mondays in a leap year?
Sol. A leap has 366 Days so it will have 52 weeks and 2 days. Those two days can be:
a) Sunday, Monday
b) Monday, Tuesday
c) Tuesday, Wednesday
d) Wednesday, Thursday
e) Thursday, Friday
f) Friday, Saturday
g) Saturday, Sunday

Out of all these outcomes, Monday comes in 2 of them. So,
Total outcomes: 7
Favourable outcomes: 2
Probability: 2/7 (ANSWER)