1. Tardigrade
  2. Question
  3. Mathematics
  4. Consider the word GOOGLE. Among all the 6 letter word that are formed using all the letter of word GOOGLE, a word is randomly selected. The probability that O's remain between G's in the randomly selected word, is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Consider the word "GOOGLE". Among all the 6 letter word that are formed using all the letter of word "GOOGLE", a word is randomly selected. The probability that O's remain between G's in the randomly selected word, is

Probability - Part 2

Solution:

GOOGLE
$n ( S )=\frac{6 !}{2 ! \cdot 2 !}=180 $
$- G - O - O - G -$
$n ( A )={ }^5 C _1 \times 2 !+{ }^5 C _2 \times 2 !=30 $
$\therefore P ( E )=\frac{30}{180}=\frac{1}{6}$