Respuesta :
Answer:
The probability that an odd number is rolled on both solids is [tex]\frac{1}{4}[/tex].
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 [tex]\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Probability of odd on both solid}=\frac{16}{64}[/tex]
[tex]\text{Probability of odd on both solid}=\frac{1}{4}[/tex]
Hence, the probability that an odd number is rolled on both solids is [tex]\frac{1}{4}[/tex].
