Question

Two letters are randomly chosen from the word lime. Find the probability that the letters are l and m.

Answer 1

Answer:

So the word that you have selected is LIME.

Step-by-step explanation:

Now lets see. The word LIME has a total of four letters. So the Total number of events possible is 4 (maximum).

Now you draw two letters randomly, so you want to know the probability that these two letters are L and M.

You draw two letters, so favorable outcomes possible will be 2 / 4 = 1 / 2.

The correct answer is 1 / 2.

I hope that answers your query.

Answer 2

Answer:

Probability = 1/6

Step-by-step explanation:

Probability of choosing any one letter at random from word LIME can be given as

P = 1/4

∴ Probability of choosing 'l' as 1st letter P(l1) = 1/4

After selecting 1 letter, there are only 3 letter,

∴ Probability of choosing any letter form remaining 3 = 1/3

Probability of choosing 'm' = 1/3

∴ total probability of choosing l and m = 1/4 * 1/3 = 1/12 ...(1)

Similarly, when 'm' is choosen 1st, and 'l' as 2ns letter, probability of that combination= 1/12 ...(2)

∴ Total probability of choosing letters l and m = 1/12 + 1/12 = 2/12 = 1/6

∴ Probability = 1/6