A die is thrown. Describe the following events:
(i) A: number less than 7
(ii) B: a number greater than 7
(iii) C: a mutiple of 3
(iv) D: a number less than 4
(v) E: an even number greater than 4
(vi) F: a number not less than 3
Also find `AuuB, AnnB, BuuC, EnnF, DnnE, A-C, D-E, EnnF', F'`

Answer

N/a

Explanation

In one throw of a die
Sample space `S={1,2,3,4,5,6}`
(i) `A=` getting a number less than 7
`={1,2,3,4,5,6}`
(ii) `B=` getting a numbr, greater than `7={}`
(iii) `C=` getting a number multiple of `3={3,6}`
(iv) `D=` getting a number smaller than `4={1,2,3}`
(v) `E=` getting an even number greater than `4={6}`
(vi) `F=` getting a number not smaller than 3
`={3,4,5,6}`
Now `AuuB={1,2,3,4,5,6}`
`AnnB={}`
`BuuC={3,6}`
`EnnF={3,4,5,6}`
`DnnE={}`
`A-C={1,2,4,5}`
`D-E={1,2,3,}`
`EnnF'={6}nn{3,4,5,6}'`
`={6}nn{1,2}={}`
`F'={3,4,5,6}'={1,2}`