Note: This is the Solution of review exercise 13 from newly published book by PCTB (Punjab Curriculum and Textbook Board, Pakistan) for new 9th session 2025 Onward.
Review Exercise 13
Question # 01: Four option are given against each statement. Encircle the correct option.
\((i)\) Each element of the sample space is called:
\( a) \quad \) event
\( b) \quad \) experiment
\(c) \quad \) sample point
\( d) \quad \) outcomes
\( \text{Answer/Explanation}\)
\((ii)\) An outcome which represents how many times we expect the things to be happened is called:
\( a) \quad \) outcomes
\( b) \quad \) favourable outcome
\(c) \quad \) sample space
\( d) \quad \) sample point
\( \text{Answer/Explanation}\)
\((iii)\) Which one tells us how often a specific event occurs relative to the total number of frequency event or tirals?
\( a) \quad \) expected frequency
\( b) \quad \) sum of relative frequency
\(c) \quad \) relative frequency
\( d) \quad \) frequency
\( \text{Answer/Explanation}\)
\((iv)\)\(\quad\)Estimated probability of an event occurring is also known as:
\( a) \quad \) relative frequency
\( b) \quad \) expected frequency
\(c) \quad \) class boundaries
\( d) \quad \) sum of expected frequency
\( \text{Answer/Explanation}\)
\((v)\) \(\quad\)The sum of all expected frequencies is equal to the fixed number of:
\( a) \quad \) trials
\( b) \quad \) relative frequencies
\(c) \quad \) outcomes
\( d) \quad \) events
\( \text{Answer/Explanation}\)
\((vi)\) \(\quad\) The chance of occurance of a particular event is called:
\( a) \quad \) sample space
\( b) \quad \) estimated frequencies
\(c) \quad \) probabilty
\( d) \quad \) expected frequency
\( \text{Answer/Explanation}\)
\((vii)\)\(\quad\)An event which will probably occur. It has greater chance to occur is called:
\( a) \quad \) equally likely event
\( b) \quad \) likely event
\(c) \quad \) unlikely event
\( d) \quad \) certain event
\( \text{Answer/Explanation}\)
\((viii)\)\(\quad\) Find out the total number of possible sample space when \(4\) dice are rolled:
\( a) \quad \) \(6^2\)
\( b) \quad \) \(6^3\)
\(c) \quad \) \(6^4\)
\( d) \quad \) \(6^6\)
\( \text{Answer/Explanation}\)
\((ix)\)\(\quad\)While rolling a pair of dice, what will be the probability of double \(2\)?
\( a) \quad \) \(\frac{1}{6}\)
\( b) \quad \) \(\frac{1}{3}\)
\(c) \quad \) \(\frac{5}{6}\)
\( d) \quad \) \(\frac{1}{36}\)
\( \text{Answer/Explanation}\)
\((x)\) \(\quad\)A card is chosen from a pack of \(52\) playing cards, find the probaility of getting no jack and king:
\( a) \quad \) \(\frac{2}{13}\)
\( b) \quad \) \(\frac{11}{13}\)
\(c) \quad \) \(\frac{2}{52}\)
\( d) \quad \) \(\frac{11}{52}\)
\( \text{Answer/Explanation}\)
Question 2: Define the following:
\( (i) \; \) relative frequency
\( (ii) \; \) expected frequency
Question 3: An urn contain \(\small{10}\) red balls, \(\small{5}\) green balls and \(\small{8}\) blue balls. Find the probability of selecting at random.
\( (i) \; \) a green ball
\( (ii) \; \) a red ball
\( (iii) \; \) a blue ball
\( (iv) \; \) not a red ball
\( (v) \; \) not a green ball
Question 4: Three coins are tossed together. What is the probability of getting:
\( (i) \; \) exactly three heads
\( (ii) \; \) at least two tails
\( (iii) \; \) not at least two heads
\( (iv) \; \) not exactly two heads
Question 5: A card is drawn from a well shuffled pack of \(\small{52}\) playing cards. What will be the probability of getting:
\( (i) \; \) king or jack of red colour
\( (ii) \; \) not \(2\) of club and spade
Question 6: Six coins are tossed \(\small{600}\) times. The number of occurrence of tails are recorded and shown in the table given below:
