Two 6-sided dice are rolled. What is the probability - id67215408, gymnast5464

Question

Mathematics: Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the die will be 6?

gymnast5464 · Accepted Answer

Given the perimeter of the rectangle = 304 ft.

The length of the rectangle given = (9a+10) ft

width of the rectangle given = (8a+6)ft

We know that the formula to find the perimeter of the rectangle is

2(length + width)

So by placing the values of length and width of the rectangle in the formula we will get,

2((9a+10)+(8a+6))

= 2(9a+10+8a+6)

We will add like terms now. Here like terms means a with a and constant term with constant term. So we will add 9a and 8a and also 10 and 6.

2(9a+8a+10+6)

= 2(17a+16)

Now we will equate this perimeter with the perimeter given.

2(17a+16) = 304

Now we have to move 2 to the other side by dividing it to both sides.

2(17a+16) /2 = 304/2

17a+16 = 304/2

17a+16 = 152

We will move 16 now to the other side by subtracting it from both sides.

17a+16-16 = 152 -16

17a = 152-16

17a = 136

Now to find a, we have to move 17 to the other side by dividing it to both sides.

17a/17 = 136/17

a = 136/17

a = 8

So we have got the required answer.

The value of a = 8ft.

Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the die will be 6?