Mathematics · Probability and Relations

In the question, two Quantities I and II are given. Solve both quantities to establish the correct relation between them: Quantity-I: A box contains 46 balls of three different colours i.e., Red, Green and Yellow. The number of red balls and green balls are (y + 4) and y respectively, and the number of yellow balls is 50% more than the number of green balls. If one ball is drawn at random from the box, find the probability that it is a red ball. Quantity-II: If two cards are drawn at random from a well-shuffled deck of cards, find the probability that both cards are heart cards as well as face cards.