Click on a question to see the answer and explanation.
▶1. What is the probability of getting a head when tossing a fair coin?
Answer: 1/2
Explanation: There are 2 possible outcomes (head or tail). Only 1 is a head. Probability = 1/2.
▶2. What is the probability of rolling a 3 on a standard six-sided die?
Answer: 1/6
Explanation: There are 6 faces, only 1 shows a 3. Probability = 1/6.
▶3. What is the probability of getting an even number when rolling a die?
Answer: 3/6 or 1/2
Explanation: Even numbers are 2, 4, 6. So, 3 favorable outcomes out of 6. Probability = 3/6 = 1/2.
▶4. A bag has 5 red and 3 blue balls. What is the probability of picking a blue ball?
Answer: 3/8
Explanation: Total balls = 5 + 3 = 8. Blue balls = 3. Probability = 3/8.
▶5. What is the probability of drawing an ace from a standard deck of 52 cards?
Answer: 4/52 or 1/13
Explanation: There are 4 aces in a deck. Probability = 4/52 = 1/13.
▶6. What is the probability of getting a number less than 5 when rolling a die?
Answer: 4/6 or 2/3
Explanation: Numbers less than 5 are 1, 2, 3, 4. Probability = 4/6 = 2/3.
▶7. If you pick a card at random from a deck, what is the probability it is a heart?
Answer: 13/52 or 1/4
Explanation: There are 13 hearts in a deck of 52. Probability = 13/52 = 1/4.
▶8. What is the probability of getting a tail when tossing two coins?
Answer: 1/4 (for both tails)
Explanation: Outcomes: HH, HT, TH, TT. Only TT is both tails. Probability = 1/4.
▶9. What is the probability of getting at least one head when tossing two coins?
Answer: 3/4
Explanation: Outcomes: HH, HT, TH, TT. At least one head: HH, HT, TH (3 outcomes). Probability = 3/4.
▶10. A bag has 4 green, 2 yellow, and 4 red balls. What is the probability of picking a yellow ball?
Answer: 2/10 or 1/5
Explanation: Total balls = 10. Yellow balls = 2. Probability = 2/10 = 1/5.
▶11. What is the probability of drawing a king or a queen from a deck of cards?
Answer: 8/52 or 2/13
Explanation: 4 kings + 4 queens = 8 cards. Probability = 8/52 = 2/13.
▶12. What is the probability of rolling a number greater than 4 on a die?
Answer: 2/6 or 1/3
Explanation: Numbers greater than 4 are 5 and 6. Probability = 2/6 = 1/3.
▶13. If a letter is chosen at random from the word 'PROBABILITY', what is the probability it is a 'B'?
Answer: 2/11
Explanation: 'PROBABILITY' has 11 letters, 2 of which are 'B'. Probability = 2/11.
▶14. What is the probability of picking a vowel from the word 'MOUSE'?
Answer: 3/5
Explanation: Vowels: O, U, E. Total letters = 5. Probability = 3/5.
▶15. What is the probability of getting a sum of 7 when rolling two dice?
Answer: 6/36 or 1/6
Explanation: Possible pairs: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). 6 out of 36 outcomes. Probability = 6/36 = 1/6.
▶16. What is the probability of drawing a red card from a deck?
Answer: 26/52 or 1/2
Explanation: There are 26 red cards (hearts and diamonds) in a deck of 52. Probability = 26/52 = 1/2.
▶17. What is the probability of getting a prime number when rolling a die?
Answer: 3/6 or 1/2
Explanation: Prime numbers on a die: 2, 3, 5. Probability = 3/6 = 1/2.
▶18. A bag contains 6 black and 4 white balls. What is the probability of not picking a black ball?
Answer: 4/10 or 2/5
Explanation: Probability of not black = probability of white = 4/10 = 2/5.
▶19. What is the probability of getting two heads when tossing two coins?
Answer: 1/4
Explanation: Outcomes: HH, HT, TH, TT. Only HH is two heads. Probability = 1/4.
▶20. What is the probability of drawing a face card (Jack, Queen, King) from a deck?
Answer: 12/52 or 3/13
Explanation: There are 12 face cards (4 Jacks, 4 Queens, 4 Kings). Probability = 12/52 = 3/13.