Red card=26(including 2king) + 2King(Black card)=28 . ..


so,P(E)=28/52 . ..

To find the probability that the card drawn is either a red card or a king, we need to determine the number of favorable outcomes and the total number of possible outcomes.

Total number of possible outcomes:
In a deck of 52 cards, there are a total of 52 cards.

Number of favorable outcomes:
- Red cards: There are 26 red cards in a deck (13 hearts and 13 diamonds).
- Kings: There are 4 kings in a deck (one king in each suit).

To find the probability of drawing a red card or a king, we need to count the number of cards that satisfy either condition, but we also need to ensure that we don't count any cards twice (e.g., the king of hearts is both red and a king). Therefore, we need to subtract the number of cards that satisfy both conditions (which is 2, since there are two red kings).

Number of cards satisfying both conditions: 2 (red kings)

Number of cards satisfying either condition:
- Red cards: 26
- Kings: 4

Using the principle of inclusion-exclusion, we can calculate the number of cards that satisfy either condition by adding the number of cards satisfying each condition and subtracting the number of cards satisfying both conditions.

Number of cards satisfying either condition = Number of red cards + Number of kings - Number of cards satisfying both conditions
= 26 + 4 - 2
= 28

Therefore, the number of favorable outcomes is 28.

Probability:
Probability = Number of favorable outcomes / Total number of possible outcomes
= 28 / 52
= 7 / 13

Hence, the probability that the card drawn is either a red card or a king is 7/13.