a fair six sided dice is thrown. what is the probability that the die shows a number less than 2 or an even number?

Question

it deals with probability. 

Answer 1

The "or" word in the problem statement means that outcomes of (1, that is, less than 2) or (2, 4, or 6) are all successful.  That totals 4 out of 6 (successful outcomes / total possible outcomes).  4/6 = 2/3.  The probability is 2/3 or 66.7%.

Answer 2

 

The dice contains 6 numbers ... 1, 2, 3, 4, 5, 6

 

There are 6 total possible outcomes

 

Of those possibilities, 1 and 2 are the outcomes that meet the criteria of less than or equal to 2

But we must also include the even numbers ... 4 and 6 ... so the total favorable outcomes is 4 

 

Probability = favorable outcomes ÷ total possible outcomes

 

                 = 4/6

 

                 = 2/3