Answer the following
1. A box contains 20 cards numbered from 1 to 20. A card is drawn
at random from the box. Find the probability that the number on the drawn card is (i)
divisible by 2 or 3
(ii) a prime number
2. In a survey, it was found
that 40% people use petrol,35% use diesel and remaining use CNG for their vehicles.
(a) Find the probability that a person chosen at random at random uses CNG.
(a) Which fuel out of the above three is appropriate for the welfare of the society?
(a) Find the probability that a person chosen at random at random uses CNG.
(a) Which fuel out of the above three is appropriate for the welfare of the society?
3. A card is drawn at random from a well-shuffled
pack of 52 playing cards. Find the probability
of getting (i) neither a
red card nor a queen (ii) a face card or a spade card.
4. A dice is rolled
twice. Find the probability that (i) 5 will not come
up either time. (ii) 5 will
come up exactly one time.
5. Three different coins are tossed together.
Find the probability of getting (i) exactly
two heads (ii) at least two heads
6. A card is drawn
at random from a well shuffled pack of 52 playing cards. Find the probability
that the drawn card is (i) neither a king nor a queen (ii) red
queen card.
7. A box contains 90 discs,
numbered from 1 to 90. If one disc is
drawn at random from the box, find the
probability that it bears (i)
a prime-number less than 23 (ii) a perfect square number.
8. Two different
dice are rolled together.
Find
the probability of
getting : (i) the sum of numbers on two dice to be 5.
(ii) even numbers on both dice.
9. Find
the probability that in a leap year there will be
53 Tuesdays.
10. A
box contains 12 balls of which some are red in colour. If 6 more red balls
are put in the box and a ball
is drawn at random, the probability of drawing a red ball doubles than what it was before. Find the
number of red balls in the bag.
11. In a single
throw of a pair of different dice,
what is the probability of getting (i) a prime
number on each dice? (ii) a total
of 9 or 11?
12. A box contains cards bearing
numbers from 6 to 70. If one
card is drawn at random from the
box, find the probability that it bears
(i) a one digit number (ii) a number divisible
by 5
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