Question:easy

A box contains 26 cards with all English alphabets from A to Z.
The probability of randomly choosing the card with either 'E' or 'S' from this box is ______.

Show Hint

Since a card cannot be both E and S at the same time, just add the individual probabilities of drawing E and drawing S.
Updated On: Jul 20, 2026
  • 2/26
  • 1/26
  • 3/26
  • 4/26
Show Solution

The Correct Option is A

Solution and Explanation

This can also be solved using the addition rule for probability, $P(A \cup B) = P(A) + P(B) - P(A \cap B)$, where event $A$ is drawing the card 'E' and event $B$ is drawing the card 'S'. Since there is only one card for each letter out of 26 total cards, $P(A) = \frac{1}{26}$ and $P(B) = \frac{1}{26}$.

A single card cannot simultaneously show both 'E' and 'S', so the events cannot occur together, which makes them mutually exclusive and gives $P(A \cap B) = 0$. Plugging into the formula:

\[ P(A \cup B) = \frac{1}{26} + \frac{1}{26} - 0 = \frac{2}{26} \]

This confirms the same result reached by direct counting.

\[\boxed{P(E \text{ or } S) = \frac{2}{26}}\]
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