Find the probability of selecting a card from the cards marked numbers from 1to30which is a(i)Primenumber
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Solution(i):
Let E be the event of drawing a number not divisible by 3 from the cards numbered 1 to 30
Numbers not divisible by 3 from 1 to 30=1,2,4,5,7,8,10,11,13,14,16,17,19,20,22,23,25,26,28,29
No. of favorable outcomes=20
Total no. of possible outcomes =30
We know that, Probability P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
30
20
=
3
2
Therefore, the probability of drawing a number not divisible by 3 from the cards numbered 1 to 30=
3
2
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