Question

If two fair dice are rolled, what is the probability that the total showing is either even or less than nine?

A. 56
B. 2936
C. 34
D. 89

Answer 1

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)=
`(number\ of\ favorable\ events)/(Total\ number\ of\ events)`

=
`(30)/(36)`

=
`(5)/(6)`

Hence, Correct option is:

A. 5/6