19) Find the probability of selecting a
card from the cards marked numbers
from 1 to 30 which is a prime number
Answers
Answer:
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ANSWER
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
Solution(ii):
Let F be the event of drawing a prime number greater than 7 from the cards numbered from 1 to 30
Prime numbers greater than 7 from 1 to 30=11,13,17,19,23,29
No. of favorable outcomes=6
Total no. of possible outcomes =30
We know that, Probability P(F) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
30
6
=
5
1
Therefore, the probability of drawing a prime number greater than 7 from the cards numbered 1 to 30=
5
1
Solution(iii):
Let G be the event of drawing a non-perfect square number from the cards numbered from 1 to 30
Non-Perfect square numbers from 1 to 30=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
No. of favorable outcomes=25
Total no. of possible outcomes =30
We know that, Probability P(G) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
30
25
=
6
5
Therefore, the probability of drawing a non-perfect square number from the cards numbered 1 to 30=
6
5