Answer: 49%

These events are not independent. If the first card is the king of hearts then there is one less red card in the deck so the chance of getting a red is now (25/51 = 49.02%). **Detailed Explanation:** 1. **Initial deck composition:** A standard 52-card deck has 26 red cards (13 hearts + 13 diamonds) and 26 black cards (13 spades + 13 clubs). 2. **Condition given:** The first card drawn is the King of Hearts, which is a red card. 3. **After drawing the first card:** - Total cards remaining: 51 - Red cards remaining: 25 (since one red card, the King of Hearts, has been removed) - Black cards remaining: 26 (unchanged) 4. **Probability calculation:** - Probability that the second card is red = (Number of red cards remaining) / (Total cards remaining) - P(2nd card is red | 1st card is King of Hearts) = 25/51 - 25/51 ≈ 0.4902 = 49.02% 5. **Why not 50%:** The events are not independent because drawing the King of Hearts changes the composition of the deck. If the events were independent, the probability would be 26/52 = 50%, but conditional probability accounts for the change in sample space. 6. **Why not other options:** - 51%: No mathematical basis for this value - 50%: Would be correct if events were independent or if sampling with replacement - 1%: Far too low, represents misunderstanding of probability

Author: Nikitesh Somanthe