Total Questions : 40
Expected Time : 40 Minutes

1. You have a bag with 6 yellow marbles and 4 purple marbles. If you draw two marbles without replacement, what is the probability that at least one of them is yellow?

2. A box contains 4 red balls and 6 green balls. If you draw two balls without replacement, what is the probability that at least one of them is red?

3. A bag contains 4 red balls and 6 blue balls. What is the probability of drawing a blue ball without replacement?

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

5. You have a bag with 5 orange marbles, 3 purple marbles, and 2 white marbles. What is the probability of randomly selecting a purple marble?

6. In a deck of playing cards, what is the probability of drawing a red card (heart or diamond)?

7. If you roll two fair six-sided dice, what is the probability that the sum of the two rolls is a prime number?

8. A jar contains 10 red balls and 5 blue balls. What is the probability of randomly drawing a blue ball followed by a red ball without replacement?

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

10. In a bag of marbles, there are 4 red, 3 green, and 5 blue marbles. What is the probability of drawing a green marble?

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

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

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

14. 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?

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

16. 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?

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

18. If the chance of rain tomorrow is 30%, what is the probability that it will not rain?

19. 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?

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

21. You have a bag with 9 yellow marbles, 7 green marbles, and 4 blue marbles. What is the probability of randomly selecting a green marble?

22. If you flip a fair coin five times, what is the probability of getting exactly three tails?

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

24. 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?

25. If you randomly select a letter from the word 'PROBABILITY', what is the probability that it is a vowel?

26. In a deck of playing cards, what is the probability of drawing a face card (jack, queen, king) or an ace?

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

28. 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?

29. If you randomly select a card from a standard deck of 52 cards, what is the probability that it is a black card (spade or club)?

30. 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?

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

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

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

34. You have a bag with 8 white marbles and 6 black marbles. What is the probability of randomly selecting a black marble?

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

36. If you flip a fair coin four times, what is the probability of getting exactly three tails?

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

38. You have a bag with 5 red marbles and 7 blue marbles. If you draw two marbles without replacement, what is the probability that both marbles are blue?

39. 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?

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