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Q.

A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. The probability that the number on the drawn card is divisible 2 or 3 is

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a

25

b

720

c

1320

d

45

answer is C.

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Detailed Solution

Total number of cards n(s)=20

Numbers divisible by β€œ2” from 1 to 20

={2,4,6,8,10,12,14,16,18,20}=10

Numbers divisible by β€œ3” from 1to 20

={3,6,9,12,15,18}=6

Number divisible by β€˜2’ & β€˜3’ are ={6,12,18}=3

The number divisible by β€œ2” (or) β€œ3”

n(E)=10+6βˆ’3=13

Probability P(E)=n(E)n(s)=1320  

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A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. The probability that the number on the drawn card is divisible 2 or 3 is