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3. From a well-shuffled deck of 52 cards, what is the probability of

( a) getting an ace? (b) getting a red card? (c) getting a number card?
4. A bag contains 4 black, 3 white, and 7 red cards. A card is drawn at random. What is the probability
that a card drawn is
( a) a red card? (b) a black or a white card? (c) not a white card?
5. A box contains cards numbered from 1 to 25. A card is drawn at random. What is the probability
that the card drawn is
( a) an even number? (b) a prime number? (c) a composite number?
( d) a one-digit number? (e) a number greater than 16? (f) a number less than 12?

6. What is the probability that a number selected from the numbers 1, 2, 3, ...., 20 is a factor of 18?
7. A letter is chosen from the word ‘MATHEMATICS’. What is the probability that it is a consonant?
8. In a box of 100 electric bulbs, 8 are defective. One bulb is taken out at random from the box. What
is the probability that the bulb drawn is
( a) defective? (b) non-defective?

Mental Maths
1. Using the following frequency table, answer the following questions
Marks (obtained out of 10) 4 5 7 8 9 10
Number of students 5 10 8 6 12 9
(a) How many students got full marks? (b) How many students got less than 8 marks?
(c) How many marks did the maximum number of students get?
2. What do you mean by the frequency of an observation?
3. Rishav draws a ball from a bag that contains white and yellow balls. The probability of choosing a white ball
4
is . If the total number of balls in the bag is 36, find the number of yellow balls.
9
4. Which graphical representation leaves no gap between bars?
5. What is the difference between class size and class mark?
6. What is the probability of an impossible event and why?

Brain Sizzlers

The bar graph given here shows the number of girls
in different sections of class VIII. Study the graph
and answer the following questions.
1. What per cent of total girls is in section VIII-A?
2. What would be the central angle for section VIII-E if the
data is represented on a circle graph?
3. A girl is selected randomly for the position of monitor
in each section. In which section does a girl have the
greatest chance to be the monitor?
4. The school administrator decides to keep the same
number of girls in each section. What will you do to
make them equal in each section?

115 Data Handling