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17 cards numbered 1,2,3....., 17 are put...

17 cards numbered 1,2,3....., 17 are put in a box and mixed thoroughly. One person draws a card from the box. Find the prob
(i) the card is: odd ,
the card is: even
(ii) a prime
(iii) divisible by 3
(iv)divisible by 3 and 2 both

Text Solution

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(i)Total cards: `17`
Favourable cards: `1,3,5,7,9,11,13,15,17=9`
`P(O)=9/17`
(ii) Even
Total cards: `17`
Favourable cards:` 2,4,6,8,10,12,14,16=8`
`P(E)=8/17`
(iii) prime
Total cards: `17`
Favourable cards:`2,3,5,7,11,13,17=7`
`P(Prime)=7/17`
(iv) divisible by `3` and `2`
Total cards: `17`
Favourable cards:`6,12=2`
`P(D)=2/17`
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