Question

A cube has only one of its six faces painted yellow. This cube is rolled 240 times. Work out the expected number of times that it lands on the yellow face.

Answer 1

Answer:

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Answer 2

Question :- A cube has only one of its six faces painted yellow. This cube is rolled 240 times. Work out the expected number of times that it lands on the yellow face. ?

Solution :-

As , we know that, a cube has six Faces.

Given that, 1 out of six faces is painted yellow.

So,

The cube lands on the yellow face when the cube is rolled once is one of six possibilities as = ( Possible outcome) /(Total outcome) = 1/6 .

Therefore,

Each possibility of rolling the cube is equal :- all 5 without color facses as well as face with yellow color , all six have equal chances of success.

Hence,

→ The expected Number of times that it lands on the yellow face = (1/6) of 240 = (1/6) * 240 = 40 Times. (Ans.)