Question

Three fair cubical dice are thrown simultaneously. the probability that all three dice have thesame number of dots on the faces showing up is (up to third decimal place) __________

Answer 1

The probability of one dot showing up in all the three = 1/6 x 1/6 x 1/6 = 1/216
The probability that two dots show up in all the three = 1/6 x/1/6 x 1/6 = 1/216

This probability is the same for 3, 4 , 5 and 6 dots;

So, the probability that the same number shows up in all the three dice

      = 1/216 x 6 = 1/36 = 0.028 to the third decimal place