Easy Level Worksheet
Very Short Answer Questions (1 Mark Each)
(1) Define probability in simple terms.
Probability is the
Correct! Probability measures how likely something is to happen.
(2) What is the probability of getting a head when a coin is tossed once?
Probability =
Perfect! There's 1 favorable outcome out of 2 possible outcomes.
(3) A die is rolled once. Write the probability of getting an odd number.
Probability(Odd numbers on a die) =
Excellent! 3 odd numbers out of 6 possible outcomes.
(4) A card is drawn from a well-shuffled pack of 52 cards. What is the probability of getting a red card?
Probability(Red cards) =
Great! Half the cards are red.
(5) A letter is chosen from the word "MATHS". Find the probability of choosing a vowel.
Probability(Vowel in MATHS) =
Correct! Only 1 vowel out of 5 letters.
Short Answer Questions (2 Marks Each)
Answer each question with clear steps
(1) A coin is tossed twice. Write the sample space and find the probability of getting: (a) Two heads (b) One head
Sample space: {
(a) P(Two heads) =
(b) P(One head) =
Perfect! HT and TH give exactly one head.
(2) A die is rolled once. Find the probability of getting: a) A prime number b) A multiple of 3
(a) P(Prime) =
(b) P(Multiple of 3) =
Excellent! Remember 1 is not considered prime.
(3) A card is drawn from a pack of 52 cards. Find the probability of getting: (a) A king (b) A spade
(a) P(King) =
(b) P(Spade) =
Great! 4 suits with 13 cards each.
(4) Two coins are tossed together. Find the probability of getting: (a) Two tails (b) At least one head
(a) P(Two tails) =
(b) P(At least one head) =
Perfect! At least one head means one or more heads.
(5) A die is thrown. Find the probability of getting: (a) A number less than 3 (b) A number greater than 4
(a) P(< 3) =
(b) P(> 4) =
Excellent work on both parts!
Long Answer Questions (4 Marks Each)
Note: Answer each question with complete calculations and clear reasoning.
(1) A bag contains 3 red and 5 blue balls. One ball is drawn at random. Find the probability of getting: a) A red ball b) A blue ball (a) P(Red ball) =
(2) A bag contains 4 white, 3 black, and 2 red balls. One ball is drawn at random. Find the probability of getting: (a) White ball (b) Black ball (c) Red ball
(a) P(White) =
(b) P(Black) =
(c) P(Red) =
(3) A card is drawn at random from a pack of 52 cards. Find the probability of getting: (a) A queen (b) A red card (c) A club
(a) P(Queen) =
(b) P(Red) =
(c) P(Club) =
(4) A box contains 20 bulbs of which 4 are defective. One bulb is taken at random. Find the probability of the bulb being: (a) Good (b) Defective
(a) P(Good) =
(b) P(Defective) =
(5) A die is rolled twice. Find the probability of getting: a) Sum equal to 7 b) Doublet (same number on both dice)
(a) P(Sum = 7) =
(b) P(Doublet) =
Part B: Objective Questions (1 Mark Each)
Choose the correct answer and write the option (a/b/c/d)
(1) The probability of an impossible event is:
(a) 0 (b) 1 (c) Between 0 and 1 (d)
Correct! Impossible events have zero probability.
(2) The probability of a sure event is:
(a) 0 (b) 1 (c)
Correct! Sure events always happen, so probability = 1.
(3) When a coin is tossed once, the probability of getting a tail is:
(a) 0 (b) 1 (c)
Correct! 1 tail out of 2 equally likely outcomes.
(4) When a die is rolled, the probability of getting a number greater than 6 is:
(a) 0 (b) 1 (c)
Correct! No number on a standard die is greater than 6.
(5) In a pack of 52 cards, the probability of drawing a king is:
(a)
Correct! 4 kings out of 52 cards =
(6) In a bag of 3 red and 2 black balls, the probability of drawing a red ball is:
(a)
Correct! 3 red balls out of 5 total balls.
(7) If two coins are tossed, probability of getting at least one head is:
(a)
Correct! Outcomes HH, HT, TH have at least one head =
(8) A die is rolled. The probability of getting a prime number is:
(a)
Correct! Prime numbers on a die: 2, 3, 5. So
(9) A card is picked from 52 cards. The probability of getting a red card is:
(a)
Correct! 26 red cards out of 52 total =
(10) A bag has 5 white and 5 black balls. The probability of drawing a white ball is:
(a)
Correct! 5 white balls out of 10 total =
Probability Challenge
Determine whether these statements are True or False: