Question

A pair of dice is rolled. What is the probability of getting a sum of 8 ?

Answer 1

$\frac{2}{12} mark \: me \: as \: brainliest$

Answer 2

Hello guys Namaste,

Solution:-

Tho get a total of 8 for 2 dies none of the dice must have a '1'.

The probability that the first dice will not have a '1', or that it will have 2, 3, 4, 5, or 6, are:

Probability of first dice not getting 1 = 5/6

This is because the probability of getting any number from 1 to 6 are equal.

For each occurrence of the number 2 to 6 for dice the second dice must get a number given by:

Required number if dice 2 = 8 - n

Where:

n = number of dice 1

As the probability of getting any one number is equal to 1/6, the probability that the second dice will have exactly the required number is:

Probability of second dice getting the number (8 - n) = 1/6

The probability of getting sum of 8:

Probability that sum is 8 =

(Probability of first dice not getting 1)*(Probability of second dice getting the number (8 - n))

= (5/6) × (1/6) = 5/36

Answer: Probability of sum of two dice as 8 = 5/36