Question

a bag contains card numbered from 1 to 50 .a card is drawn at random from the bag then the probability that no. is divisible by both 3and 4 is (a) 1/10. (b)1/25 (c) 3/25 (d)2/25


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Answer 1

Step-by-step explanation:

$\sf{\star Answer \: :}$

• Option (d)2/25 is correct

Explanation :

Total numbers of cards = 50

We know that the lowest common multiple (LCM) of 3 and 4 is 12. That means multiples of 12 are divisible by both 3 and 4.

Therefore multiples of 12 that are divisible by both 3 and 4 are 12 , 24, 36, 48 .

Hence total number of favourable outcomes or cases = 4

The required probability

P ( A) = Number of favourable outcomes or cases \ Total number of outcomes or cases

P ( A) = 4 \ 50

P ( A) = 4 ÷ 2 \ 50 ÷ 2

The required probability

P ( A) = 2 \ 25

• So option (d)2/25 is correct

Answer 2

Answer:

Question



A box contains cards numbered from 1 to 50. One card is drawn at random from the box. Find the probability that the number on the card is

(a) a perfect square.

(b) a number divisible by 6.

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Solution



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(a) No. of perfect square between 1 to 50  =7       (from 12 to 72)

Therefore the probability that the card is drawn is a perfect square =507

(b)No.of integers divisible by 6 between 1 to 50 =8           (from 6×1→6×8)

Therefore the probability that the card is drawn is divisible by 6 =508=254