Question

Six letters are to be placed in six addressed envelopes. If the letters are places at random into the envelopes, find the probability that all of them are placed into corresponding envelopes.

Answer 1

Answer:

1/6

Step-by-step explanation:

Each letter has the possibility of being placed in 6 different envelopes.

Thus, total no. of possibilities = 6×6 = 36

Now, favourable outcomes are = 6

1--> 1

2--> 2

3--> 3

4--> 4

5--> 5

6--> 6

Therefore, probability that all of them are placed into corresponding envelopes

= 6/36

= 1/6

Hope this helps you.