Class 9 Quiz Level 2 (Moderate) – Probability Leave a Comment / By anushka kumari / October 17, 2024 Class 9 Quiz Level 2 (Moderate) – Probability Total questions: 20 1. Two cards are drawn at random from a well-shuffled deck of 52 playing cards without replacement. What is the probability that both cards are Aces? Deselect Answer $ \displaystyle \dfrac{1}{{169}}$ $ \displaystyle \dfrac{1}{{221}}$ $ \displaystyle \dfrac{1}{{52}}$ $ \displaystyle \dfrac{1}{{663}}$ None 2. A card is drawn at random from a well-shuffled deck of 52 playing cards. What is the probability that it is either a red card or a King? Deselect Answer $ \displaystyle \dfrac{7}{{13}}$ $ \displaystyle \dfrac{1}{{2}}$ $ \displaystyle \dfrac{15}{{26}}$ $ \displaystyle \dfrac{17}{{26}}$ None 3. Three cards are drawn at random from a well-shuffled deck of 52 playing cards without replacement. What is the probability that all three cards are Aces? Deselect Answer $ \displaystyle \dfrac{1}{{22100}}$ $ \displaystyle \dfrac{1}{{5535}}$ $ \displaystyle \dfrac{1}{{20475}}$ $ \displaystyle \dfrac{1}{{5525}}$ None 4. A bag contains 5 white, 3 black, and 2 red balls. Two balls are drawn at random without replacement. What is the probability that one is white and the other is black? Deselect Answer $ \displaystyle \dfrac{{15}}{{45}}$ $ \displaystyle \dfrac{{5}}{{18}}$ $ \displaystyle \dfrac{{1}}{{3}}$ $ \displaystyle \dfrac{{7}}{{30}}$ None 5. Three dice are rolled simultaneously. What is the probability of getting at least one 6? Deselect Answer $ \displaystyle \dfrac{1}{{216}}$ $ \displaystyle \dfrac{1}{{18}}$ $ \displaystyle \dfrac{91}{{216}}$ $ \displaystyle \dfrac{125}{{216}}$ None 6. Two cards are drawn at random from a well-shuffled deck of 52 playing cards without replacement. What is the probability that both cards are Aces? Deselect Answer $ \displaystyle \dfrac{1}{{221}}$ $ \displaystyle \dfrac{1}{{20825}}$ $ \displaystyle \dfrac{1}{{663}}$ $ \displaystyle \dfrac{1}{{5525}}$ None 7. Four coins are tossed simultaneously. What is the probability of getting at most one head? • 5/16 Deselect Answer $ \displaystyle \dfrac{5}{{16}}$ $ \displaystyle \dfrac{3}{{8}}$ $ \displaystyle \dfrac{1}{{2}}$ $ \displaystyle \dfrac{1}{{16}}$ None 8. Three dice are rolled simultaneously. What is the probability of getting a sum of 15? Deselect Answer $ \displaystyle \dfrac{1}{{18}}$ $ \displaystyle \dfrac{10}{{216}}$ $ \displaystyle \dfrac{1}{{36}}$ None 9. Three cards are drawn at random from a well-shuffled deck of 52 playing cards without replacement. What is the probability that all three cards are of the same suit? Deselect Answer $ \displaystyle \dfrac{1}{{5525}}$ $ \displaystyle \dfrac{1}{{10200}}$ $ \displaystyle \dfrac{1}{{10726}}$ $ \displaystyle \dfrac{1}{{1155}}$ None 10. Four coins are tossed simultaneously. What is the probability of getting at least three tails? Deselect Answer $ \displaystyle \dfrac{5}{{16}}$ $ \displaystyle \dfrac{3}{{16}}$ $ \displaystyle \dfrac{7}{{16}}$ $ \displaystyle \dfrac{1}{{16}}$ None 11. A bag contains 8 red, 4 blue, and 6 green balls. Two balls are drawn at random without replacement. What is the probability that one of them is red and the other is green? Deselect Answer $ \displaystyle \dfrac{16}{{51}}$ $ \displaystyle \dfrac{32}{{119}}$ $ \displaystyle \dfrac{48}{{153}}$ $ \displaystyle \dfrac{32}{{153}}$ None 12. A bag contains 6 red, 5 blue, and 3 green balls. Three balls are drawn at random without replacement. What is the probability that exactly one of them is green? Deselect Answer $ \displaystyle \dfrac{12}{{55}}$ $ \displaystyle \dfrac{18}{{55}}$ $ \displaystyle \dfrac{24}{{55}}$ $ \displaystyle \dfrac{36}{{55}}$ None 13. Three cards are drawn at random from a well-shuffled deck of 52 playing cards without replacement. What is the probability that all three are face cards (Jack, Queen, King)? Deselect Answer $ \displaystyle \dfrac{1}{{2200}}$ $ \displaystyle \dfrac{1}{{104}}$ $ \displaystyle \dfrac{1}{{825}}$ $ \displaystyle \dfrac{1}{{221}}$ None 14. Two dice are rolled simultaneously. What is the probability of getting a sum of 3 or 8? Deselect Answer $ \displaystyle \dfrac{1}{{6}}$ $ \displaystyle \dfrac{5}{{18}}$ $ \displaystyle \dfrac{7}{{36}}$ $ \displaystyle \dfrac{1}{{4}}$ None 15. Four coins are tossed simultaneously. What is the probability of getting exactly two tails? Deselect Answer $ \displaystyle \dfrac{1}{{4}}$ $ \displaystyle \dfrac{5}{{16}}$ $ \displaystyle \dfrac{3}{{8}}$ $ \displaystyle \dfrac{1}{{2}}$ None 16. Five coins are tossed simultaneously. What is the probability of getting at least four heads? Deselect Answer $ \displaystyle \dfrac{5}{{32}}$ $ \displaystyle \dfrac{7}{{32}}$ $ \displaystyle \dfrac{3}{{16}}$ $ \displaystyle \dfrac{1}{{18}}$ None 17. Three coins are tossed simultaneously. What is the probability of getting exactly one head? Deselect Answer $ \displaystyle \dfrac{1}{{2}}$ $ \displaystyle \dfrac{1}{{8}}$ $ \displaystyle \dfrac{3}{{8}}$ $ \displaystyle \dfrac{1}{{4}}$ None 18. Three dice are rolled simultaneously. What is the probability of getting a sum of 16? Deselect Answer $ \displaystyle \dfrac{5}{{108}}$ $ \displaystyle \dfrac{1}{{72}}$ $ \displaystyle \dfrac{25}{{216}}$ $ \displaystyle \dfrac{1}{{36}}$ None 19. Three dice are rolled simultaneously. What is the probability of getting a sum of 12? Deselect Answer $ \displaystyle \dfrac{5}{{54}}$ $ \displaystyle \dfrac{25}{{216}}$ $ \displaystyle \dfrac{1}{{18}}$ $ \displaystyle \dfrac{1}{{9}}$ None 20. Two dice are rolled simultaneously. What is the probability of getting a sum of 9 or 10? Deselect Answer $ \displaystyle \dfrac{1}{{12}}$ $ \displaystyle \dfrac{5}{{36}}$ $ \displaystyle \dfrac{1}{{6}}$ $ \displaystyle \dfrac{7}{{36}}$ None 1 out of 20 Time's up
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