Long Answer Type(a) a black king (b) either a black card or a red king.
(c) a jack, queen or a king (d) a spade or an ace.
In a lottery of 50 tickets, marked 1 to 50, one ticket is drawn at random. Find the probability that the number on the ticket is:
(a) divisible by 6 (b) prime number (c) not a prime number
(d) divisible by 9 or 11 (e) a perfect square (f) a composite number.
An urn contains 9 red, 7 white and 4 black balls. One ball is drawn at random. What is the probability that the ball drawn is:
(a) red (b) white (c) red or black (d) white or black (e) not red?
(i) both are apples. (ii) one is an apple and one a guava
(iii) one is an orange and the second one is any of the other two?
A box contains 80 screws, 20% of which are rusted. Two screws are drawn at random. What is the probability that :
(i) both are rusted (ii) only one is rusted (iii) both are not rusted?
From a well shuffled pack of 52, two cards are drawn at random. Find the probability that :
(i) both are face cards. (4 Kings + 4 Queens + 4 Jacks)
(ii) one is red and the other a black card.
(iii) one is an ace and the other a black queen.
(iv) both are spade cards. (v) one is a heart and the other a spade.
In a lottery of 50 tickets marked with number 1 to 50, two tickets are drawn at random. Find the probability that:
(a) both tickets have prime number.
(b) none of the tickets have a prime number.
(c) one of the tickets has a prime number.
A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn from the box. What is the probability that:
(i) all the marbles will be blue? (ii) at least one marble will be green?
Short Answer TypeA number lock of a suitcase has 3 wheels, each labelled with 9 digits i.e., from ‘ 1 to 9’. The lock opens with a sequence of 3 digits allowed:
(a) with no repeats (b) with repeats
What is the probability of a person getting the right sequence to open the suitcase?
Solution not provided.
Ans. (a) 
(b) 
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