Question

A pair of dice is thrown once. Find the probability of getting a number 1. greater than 4 on each dice. 2. same number on each dice.

Answer 1

Answer:

1. 1/9.

2. 1/6.

Step-by-step explanation:

The possibilities of results in dice one is 6 [1 to 6].

The possibilities of results in dice two is also 6 [1 to 6] [totally independent of the result of dice one].

Thus, total number of ways the results can happen = 6 X 6 = 36.

Now, for condition 1;

There are 2 numbers more than 4 in a dice - 5 and 6.

Thus in dice one there are 2 possibilities of happening this.

In dice two also, there are 2 possibilities.

Thus, probability of getting results more than 4 in both the dices = (2 X 2)/36 = 4/36 = 1/9.

Now, for condition 2;

There are 6 possibilities for dice one result [1 to 6].

But as the result of the second dice is totally dependent on the result of the dice one under this condition, there is only 1 possibility in dice 2 result [the dice 1 result].

Thus, probability of getting same number on each dice = (6 X 1)/36 = 6/36 = 1/6.

Answer 2

Answer:

1/6

Step-by-step explanation:

6/36= 1/6

thanks for the question