Others Maths Puzzle

There are two bags A and B. Bag A has 12 red balls and 10 blue balls and bag B has 20 red balls and 15 blue balls. If the probability of choosing bag A is
.75 and the probability of choosing bag B is 0.25 then what is the probability of choosing a red ball from bag A.

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Others Other Question

50 coins are there. 25 coins are normal coins weighing 10 gm each. Other 25 coins are faulty coins. some of faulty coins weigh 9 gms each and some faulty coins weigh 11 gm each. You have a balance scale with two pans. In each weighing the scale shows the difference of the weights placed in each pan. You will randomly choose a coin. What is the minimum number of weighings necessary to guarantee to determine whether it is normal or not? if (x^2+1)/x=5 then find the value of (x^12+1)/x^6