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Class 10 > Learn Mathematics > Cards numbered 1 to 30 are put in a bag. A card is...
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Cards numbered 1 to 30 are put in a bag. A card is drawn at random from this bag. Find the probability that the number on the drawn card is: (i) not divisible by 3. (ii) a prime number greater than 7. (iii) not a perfect square number."

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n(s)=30 LetA be the event Of getting non divisible by 3 A = 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 22, 23, 25, 26, 28, 29. n(A) = 20 P(A) = 20/30 = 2/3 Let B be the event of getting prime number greater than 7 B = 11, 13, 17, 19, 23, 29 N(B) = 6 P(B) = 6/30 = 1/5. Let c be the getting not...
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n(s)=30

LetA be the event Of getting non divisible by 3

A = 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 22, 23, 25, 26, 28, 29.

n(A) = 20

P(A) = 20/30 = 2/3

Let B be the event of getting prime number greater than 7

B = 11, 13, 17, 19, 23, 29

N(B) = 6

P(B) = 6/30 = 1/5.

Let c be the getting not perfect square

C = 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30.

n(c) = 25

P(c) = 25/30 = 5/6.

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Total number of possibilities are 30 Let E1 be the event of getting a card not divisible by 3 number of possibilities favourable to event E1 are 20 P(E1)=20/30=2/3 2) let E2 be the event of getting a card a prime number greater than 7 number of possibilities favourable to event E2 are 7 P(E2)=7/30 3)...
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Total number of possibilities are 30 Let E1 be the event of getting a card not divisible by 3 number of possibilities favourable to event E1 are 20 P(E1)=20/30=2/3 2) let E2 be the event of getting a card a prime number greater than 7 number of possibilities favourable to event E2 are 7 P(E2)=7/30 3) let E3 be the event of getting not a perfect square number number of possibilities favourable to event E3 are 25 P(E3)=25/30=5/6 read less
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(i) There numbers are 20 numbers not divisible by 3 from 1 to 30. So the probability is 20/30 or 2/3 or 0.66 (ii) There are 6 such numbers so the probability is 6/30 or 1/5 or 0.2 (iii) There are 25 such numbers, so the probability is 25/30 or 5/6 Or 0.83
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Teacher

Given p/h = 1/2. So b =(2x2-1x1) ^1/2 = root3. So cos A = b/h = (root 3)/2
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I) p=20/30=2/3 ii) p= 6/30=1/5 iii) p=26/30
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