The faces of an eight-sided solid are labeled 1 through 8. Each number has an equal chance of being rolled. Two of these solids

are rolled. What is the probability that an odd number is rolled on

both solids?

The probability that an odd number is rolled on  both solids is .

Step-by-step explanation:

Consider the provided information.

For the 8 sided dice the total number of outcomes = 64.

The favourable outcomes i.e odd numbers on both the solid = 16

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (1,7), (1,8)  

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (2,7), (2,8)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (3,7), (3,8)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (4,7), (4,8)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (5,7), (5,8)    

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6), (6,7), (6,8)

(7,1), (7,2), (7,3), (7,4), (7,5), (7,6), (7,7), (7,8)      

(8,1), (8,2), (8,3), (8,4), (8,5), (8,6), (8,7), (8,8)  

We know that

Hence, the probability that an odd number is rolled on  both solids is .

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.