Maths - Probability?

Question

If you threw an unbiased die 1000 times, which result would you expect to occur more often, an odd number or a number greater than 3? Justify your answer

Answer 1

A dice is thrown 1000 times.

Number of favourable condition when we get an odd number on dice is {1, 3, 5}

Number of favourable condition when we get an number greater than 3 is  {4,  5, 6}

Therefore Number of favourable conditions of getting odd number on dice or an number greater than 3 is {1,3,4,5,6}

Then the probabilty of getting odd number on dice or an number greater than 3 is 5/6

Now when a dice is rolled for 1000 times then (5/6)^1000

Therefore probability of the dice rolled 1000 times is (5/6)^1000.