An unbiased cubic die marked with `1,2,2,3,3,3` is rolled 3 times. The probability of getting a total score of 4 or 6 is

Options

A. `16//216`
B. `50//216`
C. `60//216`
D. None of these

Answer

B

Explanation

Die marked with `1,2,2,3,3,3,` is thrown 3 times.
`P(1)=1/6,P(2)=2/6,P(3)=3/6`
`P(S) =P(4 or 6)`
= P (112(3 cases) or 123 (6 cases) or 222)
`=3xx1/6xx1/6xx2/6+6(1)/(6)xx2/6xx3/6+2/6xx2/6xx2/6`
`=(6+36+8)/(216)=(50)/(216)=(25)/(108)`