Answer with Step-by-step explanation:
The Sample space of throwing two dice is:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
Total events=36
Events showing the sum as either even or less than nine are in bold letters.
Total events showing the sum as either even or less than nine= 30
P(sum is either even or less than 9)=[tex]\dfrac{number\ of\ favorable\ events}{Total\ number\ of\ events}[/tex]
=[tex]\dfrac{30}{36}[/tex]
=[tex]\dfrac{5}{6}[/tex]
Hence, Correct option is:
A. 5/6
