Integers a,b,c and d not necessarily distinct,are chosen independently and at random from the set `S={0,1,2,3 ,.......2018,2019}` .If the probability that `(ad-bc)` is even,is `(p)/(9) `where` p and q `are relatively prime,then find the value of `(p+q)`

Three different numbers are selected at random from the set A={1,2,3,……..,10} . Then the probability that the product of two numbers equal to the third number is (p)/(q) , where p and q are relatively prime positive integers then the value of (p+q) is :

If sum _( k =1) ^(oo) (k^(2))/(3 ^(k))=p/q, where p and q are relatively prime positive integers. Find the value of (p+q),

If p,q in N and 0,12=(p)/(q) where p and q are relatively prime then identify which of the following is incorrect

Let a,b,c,d are distinct numbers to be chosen from the set {1,2,3,4,5}. If the least possible positive solution for x to the system of equations ax+by=1cx+dy=2} can be expressed in the form (p)/(q) where p and q are relatively prime,then find the value of (p+q).

A and B each throw simultaneously a pair of dice.If the probability that they obtain the same score be (p)/(q), where p and q are coprimes then find the value of p+q

Three distinct numbers are selected from 1 to 20. The probability that they are in G.P is (p)/(q) , where p, q are relatively prime. Then the number of prime divisors of pq is

A number x is chosen at random from the set {1, 2, 3, ...., 100). Let p = probability that x is divisible by 19 and q = probability that x is divisible by 31, then p + q is equal to

If x^(2)-2x-1 is a factor of px^(3)+qx^(2)+1 , (where p , q are integers) then find the value of p +q.

Let OABC be a regular tetrahedron of edge length unity.Its volume be V and 6V=sqrt((p)/(q)) where p and q are relatively prime.The find the value of (p+q)