A dice a thrown once. Find the probability of getting
(i) 5
(ii) a number greater than 2
(iii) 7
(iv) an odd number

Answer

N/a

Explanation

In a throw of one dice the samle space
`S={1,2,3,4,5,6}`
`impliesn(S)=6`
(i) Let `E_(1)=` event of getting `5={5}`
`implies n(E_(1))=1`
and `P(E_(1))=(n(E_(1)))/(n(S))=1/6`
(ii) Let `E_(2)=` event of getting a number greater than `2={3,4,5,6}`
`impliesn(E_(2))=4`
`P(E_(2))=(n(E_(2)))/(n(S))=4/6=2/3`
(iii) Let `E_(3)=` event of getting `6={}`
`implies n(E_(3))=0`
`:. P(E_(3))=(n(E_(3)))/(n(S))=2/6=0`
(iv) Let `E_(4)=` event of getting and odd number `={1,3,5}`
`implies n(E_(4))=3`
`:. P(E_(4))=(n(E_(4)))/(n(S))=3/6=1/2`