Question

1. If a dice is thrown. What is the probability of getting:

(i) an odd number (ii) a multiple of 3

(iii) a perfect square numbers ( iv) a number less than 4?

2. Three unbiased coins are tossed together. Find the probability of getting:

(i) all heads (ii) two heads (iii) one head (iv) At least two head

[ hint : Possible outcomes are HHH, HHT, HTH, HTT, THH, THT,TTH&

TTT [Ans: 1/8 , 3/8 , 3/8, 1/2(HHH, HHT, HTH and THH)]

3. Find the probability that a leap year selected at random will contain 53

Sundays.

4. A coin is tossed 200 times and tail is obtained 128 times. Now, if a coin is

tossed at random, what is the probability of getting a tail?

5. In 100 throws of a dice, 5 is obtained 42 times. In a random throw, what is

the probability of getting a 5?

6. Out of 400 bulbs in a box, 15 bulbs are defective. One bulb is taken at

random from the box. Find the probability that the bulb is not defective.

7. A dice is thrown 65 times and 4 appeared 2 1 times. Now, in a random

throw of a dice, what is the probability of getting a 4?

8. A survey of 200families shows the results given below:

No. of girls in the family 2 1 0

1. No. of Families 32 154 14

Out of these families, one is chosen at random.

(i) What is the probability that the chosen family has 1 girl?

(ii) What is the probability that the chosen family has no girl?

9. The picture below shows a container with 4 triangles, 5 squares and 7

circles. A single object is drawn at random from the container.Find the probability of the following events

a. The objects is not a circle d. The objects is a triangle

b. The objects is not a triangle f. The objects is not a square

c. The objects is a circle g. The objects is a square

10.A single card is drawn at random from a standard deck of 52 playing cards.

Find each event with its probability.

Note: fractional probabilities have been reduced to lowest terms. Consider

the ace as the highest card.

a. The card is a diamond (vii) either red or king

b. The card is a red king (viii) a face card

c. The card is a king or queen (ix) a red face card

d. The card is either a red or an ace (x) an ace

e. The card is not a king (xi) The card is a five or lower

f. The card is a king (xii) The card is black

11.Two different coins are tossed randomly. Find the probability of:

a. getting two heads

b. getting two tails

c. getting one tail

d. getting no head

e. getting no tail

f. getting at least 1 head

g. getting at least 1 tail

h. getting at most 1 tail

i. getting 1 head and 1 tail

12.Two dice are thrown simultaneously. Find the probability of:

a. getting six as a product

b. getting sum ≤ 3

c. getting sum ≤ 10

d. getting a doublet

e. getting a sum of 8

f. getting sum divisible by 5

g. getting a multiple of 3 as

the sum

h. getting an even number

as the sum

i. getting a prime number

as the sum

j. getting a doublet of even

numbers

k. getting a multiple of 2 on

one die and a multiple of

3 on the other die

l. a doublet i.e. same

number on both dice.

m. The sum as a prime number

Answer 1

1) (I) 3\6
(ii) 2
(iii) 2/6
(Iv) 4/6

Answer 2

Answer:

Step-by-step explanation:

a dice is thrown

Dice has 1  , 2 , 3  , 4 , 5 , 6

probability of getting:  an odd number  : 1 , 3  , 5

= 3/6 = 1/2

probability of getting:  a multiple of 3     : 3 , 6

= 2/6 = 1/3

probability of getting:a perfect square numbers  :  1  , 4

= 2/6 = 1/3

probability of getting: a number less than 4 : 1  , 2 , 3

= 3/6 = 1/2

Three unbiased coins are tossed together. Find the probability of getting:

Total case = 2 * 2 * 2 = 8

all heads = 1/8

two heads  = 3/8

one head = 3/8

At least two head  = Two Head + three Heads  = 4/8 = 1/2

Find the probability that a leap year selected at random will contain 53

Sundays.

Days in a leap year = 366 = 52*7 + 2

Proabability = 2/7