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In a throw of one dice the samle space S...

In a throw of one dice the samle space S = { 1 , 2 , 3 , 4 , 5 , 6 } ⇒ n ( S ) = 6 (i) Let E 1 = event of getting 5 = { 5 } ⇒ 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 } ⇒ n ( E 2 ) = 4 P ( E 2 ) = n ( E 2 ) n ( S ) = 4 6 = 2 3 (iii) Let E 3 = event of getting 6 = { } ⇒ 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 } ⇒ n ( E 4 ) = 3 ∴ P ( E 4 ) = n ( E 4 ) n ( S ) = 3 6 = 1 2

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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`
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