Total Questions : 50
Expected Time : 50 Minutes

1. You have a bag with 6 red marbles, 4 blue marbles, and 2 yellow marbles. What is the probability of randomly selecting a blue marble?

2. If you draw a card from a standard deck of 52 cards and then put it back, what is the probability of drawing a red card and then drawing a black card?

3. In a group of 30 people, what is the probability that at least two people have the same birthday?

4. You have a bag with 8 white marbles and 4 black marbles. If you draw one marble, what is the probability that it is white?

5. If you randomly select a card from a standard deck of 52 cards and then another card without replacement, what is the probability that both cards are red?

6. In a standard deck of 52 playing cards, what is the probability of drawing a card that is not a face card (jack, queen, or king) when drawing one card randomly without replacement?

7. You have a bag with 5 red marbles and 3 green marbles. What is the probability of randomly selecting a red marble?

8. What is the probability of rolling a 6 on a fair six-sided die?

9. If you roll two six-sided dice, what is the probability of getting a sum of 5?

10. If you roll two fair six-sided dice, what is the probability of getting a sum of 7?

11. If you roll two fair six-sided dice, what is the probability that the sum of the two rolls is greater than or equal to 10?

12. If you flip a coin twice, what is the probability of getting two heads in a row?

13. If you roll two six-sided dice, what is the probability of getting a sum of 7?

14. If you roll a fair six-sided die, what is the probability of getting a prime number (2, 3, or 5)?

15. If you draw a card from a standard deck of 52 cards, what is the probability of drawing a club?

16. You have a deck of standard playing cards (52 cards). What is the probability of drawing a red card (heart or diamond)?

17. If you draw a card from a standard deck of 52 cards, what is the probability of drawing a spade?

18. In a deck of 52 playing cards, what is the probability of drawing a heart or a spade when drawing one card randomly?

19. What is the probability of drawing a red card from a standard deck of 52 cards?

20. If you spin a spinner divided into 8 equal sections, what is the probability of landing on an even number?

21. If you flip a fair coin three times, what is the probability of getting exactly two heads?

22. What is the probability of rolling a fair six-sided die and getting a prime number?

23. If you draw a card from a standard deck of 52 cards, what is the probability of drawing a heart?

24. A box contains 6 red balls and 4 blue balls. If you draw two balls without replacement, what is the probability that both balls are red?

25. If you roll a fair six-sided die, what is the probability of getting a number less than or equal to 3?

26. In a deck of 52 playing cards, what is the probability of drawing a card that is a face card (jack, queen, or king) when drawing one card randomly?

27. If you randomly select a letter from the word 'PROBABILITY,' what is the probability of selecting a vowel?

28. If you roll a fair six-sided die, what is the probability of getting an even number?

29. A jar contains 20 balls: 5 red, 8 green, and 7 blue. If you randomly select one ball, what is the probability that it is not red?

30. If you roll a fair six-sided die, what is the probability of rolling a number greater than 4?

31. If you flip a coin four times, what is the probability of getting exactly two tails?

32. In a standard deck of 52 cards, what is the probability of drawing a red card followed by a black card without replacement?

33. What is the probability of flipping a fair coin and getting heads?

34. In a deck of 52 playing cards, what is the probability of drawing a full house (three of a kind and a pair) when drawing 5 cards randomly without replacement?

35. If you roll a six-sided die, what is the probability of rolling a number greater than 4?

36. If you roll a six-sided die, what is the probability of rolling a 3?

37. You have a bag with 3 green marbles, 2 blue marbles, and 1 yellow marble. What is the probability of randomly selecting a blue marble?

38. You have a bag with 9 blue marbles and 6 red marbles. If you draw two marbles without replacement, what is the probability that both marbles are the same color?

39. A bag contains 12 balls: 4 red, 3 green, and 5 blue. If you randomly select one ball, what is the probability that it is blue or green?

40. You have a bag with 10 red marbles and 5 blue marbles. What is the probability of randomly selecting a red marble?

41. If you randomly select a card from a well-shuffled standard deck of 52 playing cards, what is the probability that it is a face card (jack, queen, or king)?

42. You have a bag with 10 white marbles and 5 black marbles. If you draw one marble, what is the probability that it is black?

43. A box contains 6 red balls and 4 green balls. What is the probability of randomly drawing a green ball followed by a red ball without replacement?

44. If you flip a fair coin five times, what is the probability of getting exactly four heads?

45. What is the probability of getting at least one head when flipping a fair coin three times?

46. In a group of 20 people, what is the probability that at least two people have the same birthday?

47. You have a bag with 7 white balls and 5 black balls. What is the probability of drawing a white ball followed by a black ball without replacement?

48. A box contains 5 green balls and 3 yellow balls. What is the probability of randomly drawing a green ball followed by a yellow ball without replacement?

49. You have a bag with 6 yellow marbles, 4 green marbles, and 2 red marbles. What is the probability of randomly selecting a green marble?

50. A fair six-sided die is rolled twice. What is the probability that the sum of the two rolls is 7?