A pair of fair dice is rolled. What is the probability that the second dice lands on a higher value than does the first ?

Options

A. `(1)/(4)`
B. `(1)/(6)`
C. `(5)/(12)`
D. `(5)/(18)`

Answer

C

Explanation

Possiblities of having number on second dice.
`{:("First dice" , "Second dice"),(1 , "2,3,4,5,6" rarr. "5 possibilities"), (2 , "3,4,5,6" to.4 " possibilities"), (3,"4,5,6"to. "3 possibilities"), (4 , "5,6" to. "2 possibilities"), (5 , 6 to. 1 " possibility"):}`
Total number of possibilites = 15.
Total number of events = 36.
`therefore ` Probability `= (15)/(36) = (5)/(12)`.