Question:

A single letter is selected from the word TRICKS. The probability that it is either T or R is:

Show Hint

If letters repeat, count each occurrence separately. Here all letters are distinct, so total = number of letters.
Updated On: May 1, 2026
  • \( \frac{1}{36} \)
  • \( \frac{1}{4} \)
  • \( \frac{1}{2} \)
  • \( \frac{2}{3} \)
  • \( \frac{1}{3} \)
Show Solution
collegedunia
Verified By Collegedunia

The Correct Option is

Solution and Explanation


Concept: Probability is defined as: \[ P = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} \] Here, we randomly select one letter from the given word.

Step 1:
Count total number of outcomes.
The word TRICKS has letters: \[ \{T,\ R,\ I,\ C,\ K,\ S\} \] Total number of letters: \[ = 6 \]

Step 2:
Count favorable outcomes.
Favorable letters are: \[ \{T,\ R\} \] Number of favorable outcomes: \[ = 2 \]

Step 3:
Calculate probability.
\[ P(\text{T or R}) = \frac{2}{6} \] \[ = \frac{1}{3} \]

Step 4:
Final answer.
\[ \boxed{\frac{1}{3}} \]
Was this answer helpful?
0
0