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Practice each question, then open the answer or worked solution.
Numbers 1 to 5 are written on separate slips, i.e. one number on one slip and put in a box. Wahida picks a slip from the box without looking at it. What is the probability that the slip bears an odd number?
(a) 1/5 (b) 2/5 (c) 3/5 (d) 4/5
Solution:-
(c) 3/5
Number 1 to 5 = 1, 2, 3, 4, 5
Odd number 1 to 5 = 1, 3, 5
Probability = total number of odd number slips/ Total number of slips
= 3/5
A glass jar contains 6 red, 5 green, 4 blue and 5 yellow marbles
of the same size. Hari takes out a marble from the jar at random.
What is the probability that the chosen marble is of red colour?
(a) 7/10 (b) 3/10 (c) 4/5 (d) 2/5
Solution:-
(b) 3/10
Probability = total number of red marbles/ Total number of marbles
= 6/20 … [divide numerator and denominator by 2]
= 3/10
A coin is tossed two times. The number of possible outcomes is
(a) 1 (b) 2 (c) 3 (d) 4
Solution:-
(d) 4
Head Head, Tail Tail, Tail Head, Head Tail.
A coin is tossed three times. The number of possible outcomes is
(a) 3 (b) 4 (c) 6 (d) 8
Solution:-
(d) 8
HHH, TTT, THH, HTH, HHT, HTT, THT, TTH
A dice is tossed two times. The number of possible outcomes is
(a) 12 (b) 24 (c) 36 (d) 30
Solution:-
(c) 36
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6) = 6
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6) = 6
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6) = 6
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6) = 6
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6) = 6
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) = 6
= 36
In questions 36 to 58, fill in the blanks to make the statements true.
Data available in an unorganised form is called data.
Solution:-
Data available in an unorganised form is called raw data.
In the class interval 20 – 30, the lower class limit is .
Solution:-
In the class interval 20 – 30, the lower class limit is 20.
In the class interval 26 – 33, 33 is known as .
Solution:-
In the class interval 26 – 33, 33 is known as upper class limit.
The range of the data 6, 8, 16, 22, 8, 20, 7, 25 is .
Solution:-
The difference between the lowest and the highest observation in a given data is called its Range.
Then, Range = Highest observation – Lowest observation
= 25 – 6
= 19
The range of the data 6, 8, 16, 22, 8, 20, 7, 25 is 19.
A pie chart is used to compare to a whole.
Solution:-
A pie chart is used to compare parts to a whole.