List of top Mathematics Questions on Conditional Probability asked in AP EAMCET

A bag contains 6 balls. If three balls are drawn at a time and all of them are found to be green, then the probability that exactly 5 of the balls in the bag are green is:
If two unbiased six-faced dice are thrown simultaneously until a sum of either $7$ or $11$ occurs, then the probability that $7$ comes before $11$ is
Bag $A$ contains $6$ Green and $8$ Red balls and bag $B$ contains $9$ Green and $5$ Red balls. A card is drawn at random from a well shuffled pack of $52$ playing cards. If it is a spade, two balls are drawn at random from bag $A$, otherwise two balls are drawn at random from bag $B$. If the two balls drawn are found to be of the same colour, then the probability that they are drawn from bag $A$ is