# What is the probability that at least one six will be rolled on two consecutive dice rolls?

Since the dice has 6 faces, there are 6 possible scoring options for each roll. With two consecutive throws of the dice, the number of possible points will be 6 * 6 = 36 options. Now let’s determine how many cases correspond to a situation when at least one of two throws drops a six.

In the case when a six falls on the first throw, any of the six options can be used on the second throw.

1 cube – 6, 2 cube – 1

1 cube – 6, 2 cube – 2,

1 cube – 6, 2 cube – 3,

1 cube – 6, 2 cube – 4,

1 cube – 6, 2 cube – 5,

1 cube – 6, 2 cube – 6.

In the case when a six is dropped on the second throw, any of 5 options can be used on the first throw.

1 cube – 1, 2 cube – 6

1 cube – 2, 2 cube – 6,

1 cube – 3, 2 cube – 6,

1 cube – 4, 2 cube – 6,

1 cube – 5, 2 cube – 6.

Option 1 dice – 6, 2 dice – 6 has already been taken into account earlier.

Consequently, in 11 cases out of 36 with two consecutive throws of the dice, at least one six will fall out. The probability of such an event is 11/36.

Answer: The probability that at least one six will be rolled on two consecutive dice rolls is 11/36.