(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?
Solution not provided.
Ans. (a) (b)
(c)
(d)
(e)
(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?
A 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?