Question

62. A letter is taken out at random from the
word RANGE and another is taken out
from the word PAGE. The probability that
they are the same letters is: (N 06)
a) 1/20 b) 3/20
c) 3/5
d) 3/4
​

Answer 1

Answer:

A letter from the word RANGE can be taken out in 5 ways. Similarly, a letter from the word PAGE can be taken out in 4 ways.

So, both the task of taking one letter from each word can be done in 5∗4=20 ways.

We have to find the probability that both the letter are the same.

The words RANGE and PAGE have 3 letters in common: A, G and E.

So a common letter can be chosen in 3 different ways, and once chosen from any one word then we have only 1 choice of taking out a letter from the other word.

So, favorable number of ways =3∗1=3

Prabability =

totalno.ofways

favorableno.ofways

=

20

3

mark as brailant