Self Maths Puzzle Numerical Ability Probability

Urn A contains 3 red and 2 white marbles, Urn B contains 2 red and 5 white, an Urn is selected at random, a marble is drawn and put into the other Urn, then a marble is drawn from the second Urn,, probability that both marbles drawn are of same colour is ????

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Self Other Question

A can solve a problem is 6/7 and B solving the problem is 3/14. Assuming two events 'A can solve the problem' and 'B can solve the problem' r independent,,, probability that only one can solve the problem
Option
1. 3/28
2. 5/28
3. 9/28
Find the number of zeroes in 100^1! *99^2! *98^3! *..... 1^100