Question

a dice is rolled twice. what is the probability of getting a difference of a 2 point?​

Answer 1

Answer:

Do you mean “If a die is …”? That’s what I’ll assume as well as a fair die, fairly tossed/rolled. Also assuming that 2 points means an arithmetic difference of 2 between the two results.

Back to basics - there are 6 equally likely outcomes from the first roll, and the same for the second roll -> 36 equally likely two die outcomes - which are mutually exclusive outcomes. Satisfy yourself of this, and go ahead and write them out. As long as they are written out, mark those of the 36 outcomes which have a difference of 2.

With 36 equally likely outcomes - what is the probability of each? Figure that out. Then count the number of outcomes which have a difference of two points, and then add up their probabilities.

HOPE THIS HELPS YOU !

Answer 2

Answer:

There are a total of 6 x 6 = 36 possible outcomes when two dice are rolled. Of the 36 possible outcomes, there are 8 outcomes with a difference of 2: (1,3), (3,1), (2,4), (4,2), (3,5), (5,3), (4,6), (6,4). So, the probability of getting the difference of 2 is 8/36 = 2/9.