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GCSE Mathematics Worksheet - Probability

Answer the following

1. What is the probability of picking two doubles from a pack of dominoes? [Hint: There are 50 dominoes in a pack. 7 of them are doubles.]

2. John picks a card at random from a pack of 52 cards and throws a dice. What is the probability that he will pick the ace of spades and throw a six?

3. There are 300 seeds in a packet of flower seeds.Each seed will grow into a white flower or a yellow flower or a red flower. The probability of a seed growing into a white flower is 0.62. 45 of the seeds are expected to grow into yellow flowers. One of the seeds is chosen at random from the packet. What is the probability that this seed will grow into a red flower?

4. Martin has a pencil case which contains 4 blue pens and 3 green pens. Martin picks a pen at random from the pencil case. He notes its colour, and then replaces it. He does this two more times. Work out the probability that when Martin takes three pens, exactly two are the same colour.

5. Natalie has 8 socks in a drawer.
5 of the socks are black.
3 of the socks are white.
Natalie takes out a sock at random, writes down its colour and puts it back into
the drawer.Then Natalie takes out a second sock, at random, and writes down its colour. Draw tree diagram and Work out the probability that the two socks are the same colour.

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CBSE 9th Mathematics Worksheet - Probability

Answer the following

1. A bag contains 50 coins and each coin marked from 51 to 100. One coin is
picked up at random. The probability that the number on the coin is not a prime
number is…………………

2. Eleven bags of wheat flour, each marked 5 kg actually contained the following weights of flour (in kg):

4.97 5.05 5.08 5.03 5.00 5.06 5.08 4.98 5.04 5.07 5.00

Find the probability that any of these bags chosen at random contains more than 5 kg of flour.

3. The record of a weather station shows that out of the past 250 consecutive days,
its weather forecast correct 175 times. What is the probability that on a given
day.
(i) it was correct.
(ii) it was not correct.

4. A die having six faces is tossed 80 times and the data is as below:
Outcome 1 2 3 4 5 6
Frequency 10 20 10 28 8 4
Find (i) P (1) (ii) P (4) (iii) P (6) (iv) P (5).

5. The blood groups of 30 students of class IX are recorded as follows:

AB,

A student is selected at random from the class from blood donation. Find the probability that the blood groups of the student chosen is:
(i) A (ii) B (iii) AB (iv) O

6. Given below is the frequency distribution of wages (in Rs.) of 30 workers in a certain factory

Wages
(in Rs.) 110-130 130-150 150-170 170-190 190-210 210-230 230-250

No. of
workers 3 4 5 6 5 4 3
A worker is selected at random. Find the probability that his wages are:

(i) less than Rs. 150

(ii) at least Rs. 210

(iii) more than or equal to 150 but less than 210.

7. Three coins tossed simultaneously 100 times with the following frequencies of
different outcomes.Out come No head one head two head three head
Frequency 14 38 36 12
If the coin tossed again then find the probability.
(i) two heads coming up
(ii) 3 heads coming up
(iii) getting more tails than heads
(iv) at least one head coming up

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CBSE 8th Mathematics Worksheet - Data Handling & Probability

Answer the following

1. Tally marks are used to find
(a) Class intervals (b) Range (c) Frequency (d) Upper limit

2. The weekly wages (in Rs.) of 30 workers in a factory are
830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840.
Using tally marks, make a frequency distribution table with class intervals 800 – 810, 810 – 820 and so on

3. The pie chart gives the marks scored in an examination by a student in different subjects. If the total marks obtained were 540, answer the following questions–
(i) In which subject did the student score 105 marks?
(ii) How many more marks were obtained by the student in Mathematics than in Hindi?

4. Draw a pie chart for the given data.

Favourite food North Indian	Number of people 30
South Indian	40
Chinese	25
Others	25

5. The top speeds of thirty different land animals have been organized into a frequency table. Draw a histogram for the given data.

Maximum Speed (km/h)	Frequency
10 – 20	5
20 – 30	5
30 – 40	10
40 – 50	8
50 – 60	0
60 – 70	2

6. A coin is tossed 200 times and head appeared 120 times. The probability of getting a head in this experiment is ____________

7. A glass jar contains 6 red, 5 green, 4 blue and 5 yellow marbles of same size. Hansik takes out a marble from the jar at random. What is the probability that the chosen marble is of red colour?

8. A dice is rolled once. What is the probability that the number on top will be
(a) Odd
(b) Greater than 5
(c) A multiple of 3
(d) Less than 1
(e) A factor of 36
(f) A factor of 6

9. Reem draws a ball from a bag that contains white and yellow balls. The probability of choosing a white ball is 2/9. If the total number of balls in the bag is 36, find the number of yellow balls.

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CBSE 10th Mathematics Important Questions/ Worksheet - Probability

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?

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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IGCSE Mathematics Important Questions/ Worksheet - Probability

Answer the following

1. Elena has a bag which contains 7 toffees, 4 mints and 2 chocolates.
Elena picks one of these sweets.
What is the probability that she chooses a:
a) mint b) mint or toffee c) mint or chocolate

2. 24 people come for a job interview.

9 of these people wear glasses and 4 of them have contact lenses.

Find the probability that the person chosen for the job:
a) has contact lenses
b) wears glasses
c) does not wear glasses or contact lenses

3. A dice is thrown 120 times.
How many times would you expect to get a:
a) 3 b) 5 c) 4 or 5 d) square number

4. The probability of Anu getting up before 11 a.m. on a Saturday
morning is 1/4. What is the probability of Anu not getting up before
11 a.m. on a Saturday morning?

5. Ahmed has some coins in his pocket. He has 5c, 10c and 50c coins. The
probability of choosing a 5c coin is 0·65. The probability of choosing
a 10c coin is 0·2.
a) What is the probability of choosing a 50c coin?
b) What is the probability of choosing a 10c coin or a 50c coin?

6. A bag contains 8 blue discs and 3 green discs.
One disc is removed at random then replaced.
Another disc is then removed.

a) Copy and complete the tree diagram to show all the outcomes.
Find the probability that:
b) Both discs are blue.
c) Both discs are green.
d) One disc is blue and one disc is green

7. A spinner is spun three times.

a) Copy and complete the tree diagram to show the probability of
getting a ‘two’.

b) Find the probability that the spinner lands on:
i) 3 two’s
ii) no two’s
iii) at least one ‘two’

8. There are 3 males and 5 females in a family of 8 people.

Two of the family members are chosen at random.

a) Copy and complete the tree diagram. Find the probability that:
b) Both people are female.
c) Exactly one person is female.

9. A bag contains 7 green counters and 3 purple counters.

A counter is taken at random and its color noted.

The counter is not returned to the box.

Then a second counter is taken at random and its color noted.

It also is not returned to the box.

Finally a third counter is taken at random, and its color noted.(without replacement)

Work out the probability that

i)all three counters are purple

ii)exactly one of the three counters is purple

iii)at least one of the three counters is purple

10. The probability of John doing more than 2 hours homework on a
Thursday evening is 0·6. If he does more than 2 hours homework, the
probability of seeing friends later that evening is 0·25. If he does 2 hours
or less homework, the probability of seeing friends later that evening is 0·7.

a) Draw a tree diagram to represent the above information.
b) Find the probability that John will see friends later that evening.

Answers for IGCSE Mathematics- Probability
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