Question

A letter is taken out at random from the word RANGE & another is taken from word PAGE. The probability that they are the same letters is:

Answer 1

let take range the chance of a =1/5
and the chance of a coming in page=1/4
so the probability of same letter coming =1/5+1/4
that =lcm =20 and then 5+4/ 20 =>
probability= 9/20

Answer 2

There are three overlapping letters, AGE.

So the probability we’re looking for is the probability that the first letter we draw from one of the words is one of those, and that the second letter is the same.

If we draw from the first word first, there’s a 3/5 probability that we get one of AGE rather than RN. Then a 1/4 probability that the letter we got matches the one we draw from the other word. That’s 3/5*1/4 or 3/20.

It’s the same if we draw them the other way around, 3/4 chance of getting one of the useful letters from PAGE, then 1/5 chance of it matching the drawn letter from RANGE.

3/20