Total Questions : 30
Expected Time : 30 Minutes

1. If you randomly select two cards from a standard deck of 52 cards without replacement, what is the probability that both cards are hearts?

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

3. 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?

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

5. 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?

6. 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)?

7. 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?

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

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

10. 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?

11. If you roll two fair six-sided dice, what is the probability of getting a sum of 8?

12. 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?

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

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

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

16. 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?

17. If you randomly select a card from a well-shuffled standard deck of 52 playing cards, what is the probability that it is a red queen (either the queen of hearts or the queen of diamonds)?

18. You have a bag with 7 green marbles and 3 red marbles. If you draw two marbles without replacement, what is the probability that both marbles are green?

19. 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?

20. 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?

21. You have a bag with 4 white marbles, 3 black marbles, and 2 gray marbles. What is the probability of randomly selecting a gray marble?

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

23. 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?

24. 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?

25. If you draw a card from a standard deck of 52 cards, what is the probability of drawing a face card (king, queen, or jack)?

26. 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?

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

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

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

30. If you flip a coin, what is the probability of getting heads?