We have, m, n be two distinct integer chosen randomly from the set "‌{0,1,2,3,...,99} ∴ Total number of outcomes "‌=100C2 4m+4n+3 ‌‌(5−1)m+(5−1)n+3 ‌‌5K+(−1)m+5λ+(−1)n+3 ‌‌5(K+λ)+(−1)m+(−1)n+3 4m+4n+3 is divisible by 5 if m and n both are even.
∴ Favourable outcomes =50C2 Required probability =‌