he king, queen and jack of clubs are removed from a deck of 52 card and the remaining cards re shuffled. A card is drawn from the remaining cards find the probability of getting (1) A card of heart (2) a face card SECTION C

Let's analyze the problem step by step. ### Initial Setup: - **Total cards in a standard deck:** 52 - **Cards removed:** King, Queen, and Jack of Clubs (3 cards) - **Remaining cards:** 52 - 3 = **49 cards** ### 1. **Probability of Drawing a Heart** - **Total Hearts in a Deck:** 13 (one for each rank) - **Cards Removed:** Since only clubs are removed, none of the hearts are affected. - **Remaining Hearts:** 13 **Probability:** \[ \frac{\text{Number of Hearts}}{\text{Total Remaining Cards}} = \frac{13}{49} \] ### 2. **Probability of Drawing a Face Card** - **Total Face Cards in a Deck:** 12 (3 face cards in each of the 4 suits) - **Face Cards Removed:** King, Queen, and Jack of Clubs (3 cards) - **Remaining Face Cards:** 12 - 3 = 9 **Probability:** \[ \frac{\text{Number of Remaining Face Cards}}{\text{Total Remaining Cards}} = \frac{9}{49} \] ### **Final Answer:** 1. Probability of drawing a heart is 13⁄49; 2. Probability of drawing a face card is 9⁄49.