# Problem 1

A bag contains 6 balls numbered 1 to 6 and 2 balls are drawn at random. Find the probability of drawing the balls numbered 1 or 2
Solution Ans :
 3 5

# Problem 2

In a lottery with 30 tickets numbered 1 to 30, two tickets are drawn simultaneously. The probability that none of the two tickets drawn has a prime number is
Solution Ans :
 38 87

# Problem 3

In a lottery of 50 tickets numbered 1 to 50, 2 tickets are drawn simultaneously. Find the probability that both the tickets may have prime numbers or may have composite numbers.
Solution Ans :
 666 1,225

# Problem 4

If 2 numbers are ordinary selected from 20 consecutive natural numbers, find the probability that the sum of the two numbers is a) an even number b) an odd number
Solution Ans :
 10 19
,
 9 19

# Problem 5

A box contains 25 tickets numbered 1 to 25. Two tickets are drawn at random. What is the probability that the product of the numbers is even.
Solution Ans :
 37 50

# Problem 6

Cards are numbered to 1 to 25. Two cards are drawn at random. Find the probability that the number on one card is multiple of 7 and on the other is a multiple of 11.

Solution
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# Problem 7

Out of the first 25 natural numbers two are chosen at random. Find the probability for one of the numbers to be a multiple of 3 and the other to be a multiple of 5 is
Solution Ans :
 13 100