Knowledge Check : Probability
Knowledge Check
Introduction to Probability
Q1: When we say “There is no chance of school tomorrow on Republic Day”, this refers to
A) Certain event
B) Possible event
C) Impossible event
D) Fifty-fifty chance
Q2: Getting a Monday in the first week of January 2025 is
A) Impossible
B) Certain
C) Possible but not certain
D) Equally likely
Q3: The probability of the sun rising from the west tomorrow is
A) 1
B) 1/2
C) 0
D) Very high
Q4: In a cricket match, the commentator says “India has a good chance of winning”. This means probability is
A) Exactly 1/2
B) Greater than 1/2
C) Less than 1/2
D) Zero
Q5: Getting rain in Chennai during November–December is
A) Impossible
B) Certain
C) Highly likely
D) Very unlikely
Q6: A student says “I will definitely pass the exam”. This is an example of
A) Impossible event
B) Certain event
C) Uncertain event
D) Fifty-fifty chance
Q7: The probability of drawing a red ball from a bag containing only green balls is
A) 1
B) 1/2
C) 0
D) Cannot be determined
Q8: In Delhi, getting snow in December is
A) Certain
B) Highly likely
C) Almost impossible
D) Fifty-fifty
Q9: The probability that a leap year has 366 days is
A) 0
B) 1/2
C) 1
D) 1/4
Q10: When we say “It may rain this evening”, the probability is
A) 0
B) 1
C) Between 0 and 1
D) Exactly 1/2
Q11: Getting a Sunday in a week is
A) Impossible
B) Certain
C) Possible but not certain
D) Very low chance
Q12: The probability of getting Diwali holiday in a school is
A) 0
B) 1
C) 1/2
D) 1/12
Q13: A child says “I will grow taller next year”. This is
A) Impossible
B) Certain
C) Highly likely
D) Impossible to predict
Q14: The probability that tomorrow is a holiday because of heavy rain is
A) 0
B) 1
C) Between 0 and 1
D) Exactly 1/2
Q15: In Mumbai, getting monsoon rain in July is
A) Almost impossible
B) Highly likely
C) Certain
D) Fifty-fifty
Q16: The probability of picking a ripe mango from a basket of only ripe mangoes is
A) 0
B) 1/2
C) 1
D) Cannot say
Q17: Getting Holi on a full moon day is
A) Impossible
B) Certain
C) Possible
D) Fifty-fifty
Q18: The probability that a tossed coin will land on its edge is
A) 1
B) 0
C) Very close to 0
D) 1/2
Q19: The probability of India being in Asia is
A) 0
B) 1
C) 1/2
D) Very low
Q20: The probability of getting a holiday on Gandhi Jayanti (2nd October) is
A) 0
B) 1
C) 1/2
D) Depends on school
Category 2: Basic Concepts of Probability (Q21 – Q40)
Q21: If a die is thrown once, what is the probability of getting a number less than 5?
A) 1/6
B) 2/6
C) 3/6
D) 4/6
Q22: A bag contains 3 red and 5 blue balls. What is the probability of picking a red ball?
A) 3/5
B) 3/8
C) 5/8
D) 1/3
Q23: Which of the following represents a sure event?
A) Probability = 0
B) Probability = 1/4
C) Probability = 1/2
D) Probability = 1
Q24: A card is drawn from a standard deck. What is the probability of getting a red card?
A) 1/2
B) 1/4
C) 3/4
D) 2/3
Q25: If P(A) = 0.65, then the probability of not A is:
A) 0.25
B) 0.35
C) 0.45
D) 0.75
Q26: Which of the following is a complementary event of “getting even number”?
A) Getting 2
B) Getting odd number
C) Getting prime number
D) Getting multiple of 3
Q27: A box contains 10 bulbs, 2 of which are defective. What is the probability of drawing a non-defective bulb?
A) 2/10
B) 8/10
C) 1/2
D) 1/5
Q28: The probability of an event lies between:
A) -1 and 1
B) 0 and 1
C) 1 and infinity
D) -∞ and +∞
Q29: A class has 20 students, 8 are girls. A student is chosen randomly. What is the probability of selecting a boy?
A) 8/20
B) 12/20
C) 5/20
D) 1/2
Q30: If an event has probability 0.2, then it is called:
A) Sure event
B) Impossible event
C) Less likely event
D) Certain event
Q31: A coin is tossed twice. What is the probability of getting two heads?
A) 1/2
B) 1/3
C) 1/4
D) 1
Q32: If two events cannot occur together, they are called:
A) Complementary events
B) Independent events
C) Mutually exclusive events
D) Equally likely events
Q33: A spinner has 5 equal sections. One is red. What is the probability of getting red?
A) 1/2
B) 1/3
C) 1/5
D) 1/10
Q34: If P(A) = 0, then A is:
A) A sure event
B) A possible event
C) An impossible event
D) An equally likely event
Q35: A die is thrown. What is the probability of getting a multiple of 3?
A) 1/6
B) 2/6
C) 3/6
D) 4/6
Q36: A pack has 6 black and 4 white pens. What is the probability of drawing a white pen?
A) 2/5
B) 3/5
C) 1/2
D) 4/10
Q37: If P(E) = 0.78, then E is:
A) A sure event
B) An impossible event
C) A highly probable event
D) A complementary event
Q38: A bag has 7 green marbles and 3 red marbles. Find the probability of selecting a green marble.
A) 7/10
B) 3/10
C) 1/2
D) 2/5
Q39: If two events can happen together, they are called:
A) Mutually exclusive events
B) Complementary events
C) Independent events
D) Dependent events
Q40: A dice is rolled twice. How many total outcomes are possible?
A) 6
B) 12
C) 18
D) 36
Probability with Cards and Applications
Q41: A card is drawn from a well-shuffled standard deck of 52 cards. Probability it is a king is
A) 1/13
B) 4/13
C) 1/52
D) 4/52
Q42: Probability of drawing a red queen from a standard deck is
A) 1/26
B) 2/13
C) 1/52
D) 1/13
Q43: Probability of getting a face card (King, Queen or Jack) is
A) 3/13
B) 1/13
C) 12/52
D) 9/13
Q44: Probability of drawing an ace of spades is
A) 1/52
B) 1/13
C) 4/52
D) 1/4
Q45: Probability of not getting a heart in a single draw is
A) 1/4
B) 1/2
C) 3/4
D) 13/52
Q46: Probability of drawing a black 7 is
A) 1/26
B) 2/13
C) 1/52
D) 1/13
Q47: In Teen Do Paanch game, probability of getting a numbered card (2 to 10) is
A) 9/13
B) 10/13
C) 36/52
D) 40/52
Q48: A card is drawn. Probability it is either a king or a queen is
A) 2/13
B) 1/13
C) 8/52
D) 4/13
Q49: Probability of drawing a card that is not a face card is
A) 10/13
B) 9/13
C) 40/52
D) 3/13
Q50: In a standard deck, probability of drawing a diamond picture card (J, Q, K) is
A) 3/52
B) 3/13
C) 12/52
D) 1/13
Q51: A school is conducting lucky draw using playing cards. Probability that the winner gets a red card is
A) 1/4
B) 1/2
C) 13/26
D) 26/52
Q52: Probability of getting a card of clubs or spades (black suit) is
A) 1/4
B) 1/2
C) 13/26
D) 26/52
Q53: In a magic show, the magician asks a child to pick a card. Probability it is a 5. Probability it is a red 5 is
A) 1/26
B) 2/52
C) 4/52
D) 1/13
Q54: Probability of drawing two aces in succession without replacement is
A) 1/221
B) 4/52 × 3/51
C) 12/265
D) 1/169
Q55: A child picks a card and it is a jack. Probability it is jack of hearts is
A) 1/4
B) 1/13
C) 1/52
D) 4/52
Q56: In Kerala lottery, one ticket is drawn from 1,00,000 tickets. Probability of winning first prize is
A) 1/1000
B) 1/10,000
C) 1/1,00,000
D) 0
Q57: IMD forecasts “60% chance of rain today in Mumbai”. This means probability is
A) 0.6
B) 0.06
C) 6
D) 60
Q58: In a class of 40 students, 25 like cricket. Probability a randomly selected student likes cricket is
A) 5/8
B) 8/5
C) 25/40
D) Both A and C
Q59: A bag has 5 red, 7 blue and 8 green balls. Probability of not drawing a red ball is
A) 5/20
B) 15/20
C) 7/20
D) 8/20
Q60: During IPL, a commentator says “70% chance that the match will go to super-over”. This means probability is
A) 0.07
B) 0.7
C) 7/100
D) 70
Category 4: Probability with Cards and Applications (Q61 – Q80)
Q61: A card is drawn from a pack of 52 cards. What is the probability of getting a spade?
A) 1/4
B) 1/13
C) 4/13
D) 3/4
Q62: What is the probability of drawing a red card from a deck?
A) 1/13
B) 13/26
C) 1/2
D) 3/4
Q63: A card is drawn. What is the probability that it is a king?
A) 1/13
B) 4/52
C) 1/52
D) 1/26
Q64: What is the probability of drawing a non-face card?
A) 3/4
B) 10/13
C) 1/4
D) 9/13
Q65: A card is drawn. Find the probability that it is not a club.
A) 3/4
B) 1/4
C) 1/2
D) 4/13
Q66: What is the probability of drawing a black card?
A) 1/2
B) 1/4
C) 3/4
D) 2/3
Q67: A card is drawn. What is the probability that it is a queen or a heart?
A) 5/13
B) 17/52
C) 4/13
D) 13/52
Q68: What is the probability of drawing an ace or a king?
A) 2/13
B) 8/52
C) 1/13
D) 3/13
Q69: A card is drawn. Find the probability that it is neither a heart nor a king.
A) 9/13
B) 10/13
C) 11/13
D) 8/13
Q70: Two cards are drawn consecutively without replacement. What is the probability both are red?
A) 25/102
B) 26/51
C) 13/26
D) 12/25
Q71: What is the probability of drawing a number card (2–10)?
A) 6/13
B) 8/13
C) 9/13
D) 10/13
Q72: One card is drawn at random. What is the probability that it is a face card?
A) 1/4
B) 3/13
C) 1/13
D) 10/13
Q73: A card is drawn. What is the probability that it is a prime number card?
A) 9/52
B) 12/52
C) 8/52
D) 13/52
Q74: Probability of drawing a card which is either red or a king:
A) 15/52
B) 16/52
C) 17/52
D) 18/52
Q75: If a card is drawn, find the probability that it is not a picture card.
A) 10/13
B) 9/13
C) 1/4
D) 3/4
Q76: What is the probability of drawing a card of diamond?
A) 1/13
B) 1/4
C) 3/13
D) 4/13
Q77: One card is selected. What is the probability that it is an even number card?
A) 4/13
B) 2/13
C) 1/13
D) 3/13
Q78: Probability of drawing a card which is not a spade:
A) 1/4
B) 3/4
C) 1/2
D) 2/3
Q79: Two cards are drawn one by one. What is the probability that both are black?
A) 25/102
B) 26/51
C) 13/26
D) 12/25
Q80: A card is drawn. What is the probability that it is neither a face card nor a red card?
A) 7/13
B) 6/13
C) 5/13
D) 4/13