A die has two faces each with number 1, three faces each with number 2 and one face with number 3. If the die rolled once, determine (i)`P(1)` (ii) `P(1or3)` (iii) `P(`not`3)`

Explanation

Total number of faces =6

(i) Number of faces with number `′2′=3`

`∴P(2)=3/6​=1/2​`

(ii) `P(1or3)=1−P(2)`

`P(1or3)=1−1/2​=1/2​`

(iii) Number of faces with number `′3′=1`

`P(3)=1/6​`

Thus, `P(bar3)`=`1−P(3)=1−1/6​=5/6​`