Cards marked with numbers 1, 3, 5… 49 are placed in a box and mixed

1.	Cards marked with numbers 1, 3, 5… 49 are placed in a box and mixed thoroughly. One card is drawn from the box. Find the probability that the number on the card is (i) divisible by 3 (ii) a composite number (iii) Not a perfect square (iv) Multiple of 3 and 5.
Answer» (i) Cards marked with numbers which are multiples of 3 are 3, 9, 15, 21, 27, 33, 39 and 45. So, P (getting a number divisible by 3) = 8/25 (ii) P (composite number) = 10/25 (iii) P (not a perfect square) = 1 - P P (perfect square) = 1 - 4/25 = 21/25 (iv) P (multiple of 3 and 5) = 2/25

Cards marked with numbers 1, 3, 5… 49 are placed in a box and mixed thoroughly. One card is drawn from the box. Find the probability that the number on the card is (i) divisible by 3 (ii) a composite number (iii) Not a perfect square (iv) Multiple of 3 and 5.

Answer»

(i) Cards marked with numbers which are multiples of 3 are 3, 9, 15, 21, 27, 33, 39 and 45.

So, P (getting a number divisible by 3) = 8/25

(ii) P (composite number) = 10/25

(iii) P (not a perfect square) = 1 - P P (perfect square) = 1 - 4/25 = 21/25

(iv) P (multiple of 3 and 5) = 2/25

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Cards marked with numbers 1, 3, 5… 49 are placed in a box and mixed thoroughly. One card is drawn from the box. Find the probability that the number on the card is (i) divisible by 3 (ii) a composite number (iii) Not a perfect square (iv) Multiple of 3 and 5.

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