PLZ SHOW STEP BY STEP EXPLANATION FOR BRAINLIEST

Three monkeys met for tea in their favourite café, taking off their hats as they arrived. When they left, they each put on one of the hats at random.

What is the probability that they all left wearing the wrong hat?

2/6 or 1/3

(Please vote me Brainliest if this helped!)

Step-by-step explanation:

Call monkeys A, B and C and hats 1, 2 and 3

You have :

Now, a little more advanced way to solve this is to count in your head. Each outcome gives you a permutation of {1, 2, 3} so there are 3! = 6 Outcomes. Now, if they all wear the wrong hat, you have two choices for the hat of A and then only one choices for B and C. For instance you can choose A2 or A3. If you choose A2 then you must choose B3 and C1.