Vardaan Learning Institute
Probability & Statistics Worksheet
SECTION A: SHORT ANSWER (3 Marks Each)
1. A bag contains 3 red and 2 blue marbles. A marble is drawn at random. What is the probability of
drawing a blue marble?
[3]
2. A die is thrown. Find the probability of getting:
(i) a prime number
(ii) a number greater than 4
[3]
3. What is the probability of choosing a vowel from the alphabets?
[3]
4. A coin is tossed. What is the probability of getting a Head?
[3]
5. The mean of 5 observations is 15. If the observations are 10, 20, 15, x, 12, find the value of x.
[3]
SECTION B: LONG ANSWER (5 Marks Each)
6. Two coins are tossed simultaneously. Find the probability of getting:
(i) two heads
(ii) at least one head
[5]
7. From a well-shuffled deck of 52 cards, one card is drawn at random. Find the probability of getting:
(i) a king of red colour
(ii) a face card
(iii) a red face card
[5]
8. In a box, there are slips numbered 1 to 10. One slip is drawn without looking. What is the
probability that the number on the slip is:
(i) a multiple of 3
(ii) an even number
[5]
9. The marks obtained by 10 students in a test are: 5, 8, 9, 6, 4, 10, 8, 9, 8, 7. Find the Mean and
Mode of the data.
[5]
10. A bag contains 5 green, 6 red, and 4 yellow balls. A ball is drawn at random. Find the probability
that the ball drawn is:
(i) red
(ii) not green
[5]
SECTION C: CHALLENGERS (5 Marks Each)
11. A letter is chosen from the word 'MATHEMATICS'. What is the probability that it is a vowel?
[5]
12. Two dice are thrown simultaneously. Find the probability of getting a sum of 8.
[5]
13. There are 6 marbles in a box with numbers from 1 to 6 marked on each of them.
(i) What is the probability of drawing a marble with number 2?
(ii) What is the probability of drawing a marble with number 5?
[5]
14. When a spinner with three colours (Red, Blue, Green) is rotated, what is the probability of the
pointer stopping on Blue? (Assume equal sectors).
[5]
15. Find the probability of getting 53 Fridays in a leap year.
[5]