Q7Comprehension4 Marks31 Aug 2025
Passage
A deck contains cards of which are aces, are kings, and are number cards. A player randomly draws cards without replacement from the deck. The game has the following rules:
- If one card is an ace and the other is a king, the player wins ₹.
- If exactly one card is an ace or a king and the other is a number card, the player wins ₹.
- If both cards are number cards, the player loses ₹.
- If both cards are aces or both are kings, the player wins ₹.
Let be a random variable representing the net amount gained (in ₹) by the player. Based on the above data, answer the given subquestions.
Find the PMF of X.