Question

The probability of picking the letter K from the word TREKKING is $\frac{x}{4}$. Then find the value of x.

Answer 1

Given,

The word TREKKING has 8 letters.

$\Rightarrow$ Total number of outcomes = 8

Number of times the letter K present in TREKKING = 2

$\Rightarrow$ Number of favourable outcomes = 2

Probability of an event, P(E) = $=\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}$

$\Rightarrow$ P (picking letter K) = $\frac{2}{8}=\frac{1}{4}$....(i)

It is given that,

P (picking letter K) = $\frac{x}{4}$....(ii)

$\Rightarrow$ $\frac{x}{4}=\frac{1}{4}$

$\Rightarrow$ x = 1

Therefore, the value of x is 1.