मान लीजिए कि निष्पक्ष पासों (dice) का एक जोड़ा उछाला जाता है। मान लीजिए A उस घटना को दर्शाता है जिसमें प्रत्येक पासे पर समान संख्या आती है। मान लीजिए B उस घटना को दर्शाता है जिसमें संख्याओं का योग 7 से अधिक है। क्रमशः P(A|B) और P(B|A) ज्ञात कीजिए।

A box contains 'x + 4' red, 'x – 1' green and 'x – 5' blue balls. If two balls are drawn from the bag one after another without replacement, then the probability of getting one red and one green ball is equal to the probability of getting a sum equal to or more than 8 when two fair dice are rolled. Find the probability of drawing a red ball when one ball is drawn at random from the bag.

Four persons are chosen at random from a group containing 3 men, 2 women, and 4 children. The probability that exactly two of them are children is: