Probability(Senior Class Maths Study by Topics) : GATE Academy

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PHONE NUMBER

1. A bag containing 5 red balls and 3 green balls.
Two balls are picked, one after the other, with replacement.
The probability that the two balls selected are of different colours is

15/64

1/8

17/32

15/32

2. A bag contains 6 red balls, 9 blue balls and 5 green balls.
Two balls are chosen one after the other with replacement.
What is the probability that one is blue, the other is green?

9/100

27/100

7/50

19/100

3. The table below shows the result of tossing a fair dice 200 times

Find the relative freqeuncy of getting an odd number

1/100

99/100

93/200

3/20

4. A letter is chosen at random from the alphabet.
Find the probability that it is T or H

1/2

1/13

10/13

4/13

5. The probability of obtaining an odd number in a single toss of a fair die is

1/6

2/3

1/3

1/2

6. The probability of obtaining a prime number in a single toss of fair die is

1/2

1/4

1/3

1/6

7. The table below shows the frequency distribution of marks obtained by 40 students in a test

If a student is selected at random, find the probability that he scored 6 marks

1/4

7/8

27/40

1/8

8. A box contains yellow, blue and white counters.
The probability of picking a yellow counter is 3/8 and the probability of picking a blue counter is 35%.
If there are 40 counters in the box,
find the number that is blue

9. A photograph is to be taken of five people including a married couple.
If the married couple insist on sitting next to each other, the number of different arrangements is

10. A box contains yellow, blue and white counters.
The probability of picking a yellow counter is 3/8 and the probability of picking a blue counter is 35%.
If there are 40 counters in the box,
find the number that is yellow

11. Henry throws a coin twice.
The coin is biased so the probability of landing a head is 2/5.
Find the probability that Henry throws a tail and a head (in any order)

12/25

3/4

9/25

1/2

12. A letter is chosen at random from the alphabet.
Find the probability that it is not one of the letters of the word DIAMOND

10/13

4/13

1/13

1/2

13. A card is drawn from an ordinary pack of 52 playing cards.
Find the probability that it is a Queen of Hearts

3/52

1/52

4/13

9/13

14. The data below shows the number of students that represented a Government Secondary School in a Mathematics Competition

Find the probability that a student picked at random is in SS1

4/12

8/25

4/25

8/45

15. Three balls are drawn one after the other, without replacement from a bag containing 4 blue, 6 white and 5 red identical balls.
The probability of picking 2 blue and 1 red ball is

2/91

4/225

6/91

8/273

16. The probability that a baby born by a certain couple will grow up to be tall is 1/4. The probability that the couple will have a tall daughter is

1/2

3/8

1/4

1/8

17. Two cards are drawn, one after the other, with replacement from a pack of 52 cards containing four aces and four queens.
The probability that the cards are either both aces or both queens is

2/221

4/13

2/13

2/169

18. Tireni throws a coin twice.
The coin is biased so the probability of landing a head is 2/5.
Find the probability that she throws two tails

1/4

3/25

1/5

9/25

19. A number is selected randomly from the set of integers 1 to 20 inclusive.
What is the probability that the number is either a multiple of 3 or a multiple of 5

11/20

1/2

3/10

9/20

20. The table below shows the frequency distribution of marks obtained by 40 students in a test

If a student is selected at random, find the probability that he scored at least 7 marks

1/4

27/40

1/8

7/8

21. The table below shows the result of tossing a fair dice 200 times

Find the value of x

22. A letter is chosen at random from the alphabet.
Find the probability that it is one of the letters of the word INFORMATION

10/13

1/2

4/13

1/13

23. The probabilities that a husband and his wife will be alive in 10 years time is 0.7 and 0.8 respectively.
What is the probability that at that time none will be alive?

0.56

0.06

24. Two dice, one red and the other blue are rolled together.
How many possible outcomes altogether

25. In how many different ways can the letters of the word GEOLOGY be arranged in order?

720

5,040

1,260

2,520

26 out of 25

Probability(Senior Class Maths Study by Topics)

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