Finding the probability

Question

Sheldon has cereal for breakfast everyday. Each day he randomly selects from the six different cereals on his self. The probability that Sheldon has "Just Cereal", one of the cereals, on the self, two days in a row is:

A) 1/36

B) 1/12

C) 1/6

D) 1/3 

 

 

P.S:

Can you please explain this question thoroughly. Thank you!!!! 

Answer 1

Assume that the probability of randomly choosing a particular cereal type from 6 equally likely choices is 1/6.

 

If whatever he select today is then replaced, before the next day, so that he still has 6 equally likely distinct choices the next day, the probability of choosing the same "Just Cereal" two days in succession is (1/6)(1/6) = 1/36.  (These choices are independent)