Understand Probability as Number 0-1 - 7th Grade Math

1. Which is less likely: an event with probability $0.15$ or $0.25$?

   $0.15$ is less likely. Lower probability values indicate lesser likelihood.

2. Identify whether $P(E)=1.05$ is a valid probability value.

   Invalid. Probabilities cannot exceed 1.

3. Which event is more likely if $P(A)=0.6$ and $P(B)=0.55$?

   Event $A$. Compare values: $0.6 > 0.55$, so A is more likely.

4. Choose the word that best describes an event with probability $0.49$.

   Neither likely nor unlikely. Very close to $\frac{1}{2}$ means equal chances.

5. Identify the probability closest to $\frac{1}{2}$: $0.48$, $0.08$, or $0.91$.

   $0.48$. $|0.48 - 0.5| = 0.02$ is the smallest difference.

6. Which word best describes an event with probability $0.50$: likely, unlikely, or neither?

   Neither unlikely nor likely. $0.50$ equals $\frac{1}{2}$, indicating equal chances.

7. What does a probability around $\frac{1}{2}$ indicate about an event's likelihood?

   Neither likely nor unlikely. Equal chance of happening or not happening.

8. Choose the number closest to an impossible event: $0.01$, $0.52$, or $0.99$.

   $0.01$. $0.01$ is the smallest value, closest to 0.

9. Which event is more likely if $P(A)=0.62$ and $P(B)=0.58$?

   Event $A$. Compare probabilities: $0.62 > 0.58$.

10. Identify the probability value that is impossible: $0$, $1.3$, or $0.9$.

    $1.3$. Values greater than 1 violate the rule $P(E) leq 1$.

11. Choose the word that best describes an event with probability $0.95$.

    Likely. Very close to 1 indicates a likely event.

12. Which word best describes an event with probability $0.04$: likely, unlikely, or certain?

    Unlikely. $0.04$ is very close to 0, indicating low likelihood.

13. Which probability is closer to $\frac{1}{2}$: $0.52$ or $0.68$?

    $0.52$. $|0.52 - 0.5| < |0.68 - 0.5|$.

14. What does a probability of $0$ mean about an event?

    The event is impossible. Zero probability means the event cannot happen.

15. Choose the word that best describes $P(E)=0.98$: likely, unlikely, or neither.

    Likely. Very high probability indicates almost certain occurrence.

16. What does a probability around $\frac{1}{2}$ indicate about an event's likelihood?

    The event is neither likely nor unlikely. Equal chance of happening or not happening.

17. Choose the word that best describes $P(E)=0.50$: likely, unlikely, or neither.

    Neither likely nor unlikely. Exactly $\frac{1}{2}$ means equal chances either way.

18. Which probability is closest to an equally likely event: $0.49$, $0.10$, or $0.90$?

    $0.49$. Closest to $0.5$, which represents equal likelihood.

19. Choose the word that best describes an event with probability $0.02$.

    Unlikely. Very close to 0 indicates an unlikely event.

20. What does a probability of $1$ mean about an event?

    The event is certain. Probability of 1 means the event will definitely happen.

21. What does a probability near $1$ indicate about an event's likelihood?

    Likely. Values close to 1 mean the event usually happens.

22. Identify the probability that represents a certain event: $0.1$, $0.9$, or $1$.

    $1$. Probability 1 means the event must occur.

23. Which probability is more likely: $0.72$ or $0.27$?

    $0.72$. Larger probabilities indicate greater likelihood.

24. Which word best describes an event with probability $0.98$: likely, unlikely, or impossible?

    Likely. $0.98$ is very close to 1, indicating high likelihood.

25. Which probability best matches a very likely event: $0.99$, $0.52$, or $0.20$?

    $0.99$. Highest value indicates most likely to occur.

26. Which probability represents an event that is more likely than not: $0.4$ or $0.6$?

    $0.6$. Events with $P > 0.5$ are more likely to occur.

27. Which probability best matches a very unlikely event: $0.01$, $0.45$, or $0.80$?

    $0.01$. Smallest value indicates least likely to occur.

28. Identify the probability that is invalid: $-0.2$, $0.2$, or $1$.

    $-0.2$. Negative probabilities are impossible; must be $0 \le P \le 1$.

29. What does a probability of $0$ mean for an event?

    Impossible event. The event cannot happen under any circumstances.

30. Which value could be a probability: $\frac{3}{2}$, $\frac{3}{4}$, or $-\frac{1}{4}$?

    $\frac{3}{4}$. Only $\frac{3}{4} = 0.75$ is between 0 and 1.

31. Which event is more likely if $P(A)=0.6$ and $P(B)=0.4$?

    $A$. $P(A) = 0.6 > 0.4 = P(B)$, so $A$ is more likely.

32. What does a probability near $1$ indicate about an event's likelihood?

    The event is likely. Values close to 1 indicate high chance of occurrence.

33. What is the full set of possible values for a probability $P(E)$?

    $0 \le P(E) \le 1$. Probabilities must be between 0 (impossible) and 1 (certain).

34. Identify the probability that represents a certain event: $0$, $\frac{1}{2}$, or $1$.

    $1$. Probability of 1 means guaranteed to happen.

35. Identify the probability value that is impossible: $-0.2$, $0.2$, or $1$.

    $-0.2$. Negative probabilities violate the rule $P(E) geq 0$.

36. What inequality correctly orders these probabilities from least to greatest: $0.3$, $0.03$, $0.9$?

    $0.03 < 0.3 < 0.9$. Decimal comparison: $0.03$ is smallest, $0.9$ is largest.

37. Choose the number closest to a certain event: $0.12$, $0.88$, or $0.999$.

    $0.999$. $0.999$ is the largest value, closest to 1.

38. Which is more likely: an event with probability $0.7$ or $0.4$?

    $0.7$ is more likely. Higher probability values indicate greater likelihood.

39. Find the best description of $P(E)=\frac{1}{2}$: unlikely, equally likely, or likely.

    Equally likely. $P = \frac{1}{2}$ means 50-50 chance.

40. Order these probabilities from least likely to most likely: $0.9$, $0.1$, $0.5$.

    $0.1,\ 0.5,\ 0.9$. Order by increasing probability values.

41. What does a probability near $1$ indicate about an event's likelihood?

    The event is likely. Values close to 1 indicate high chance of occurrence.

42. Identify the probability that is invalid: $0$, $1.03$, or $0.85$.

    $1.03$. Probabilities cannot exceed 1; must be $0 \le P \le 1$.

43. What does a probability of $0$ mean about an event?

    The event is impossible. A probability of 0 means the event cannot happen.

44. Which probability represents an event closest to equally likely: $0.49$ or $0.15$?

    $0.49$. $0.49$ is closer to $0.5$ than $0.15$ is.

45. What does a probability around $\frac{1}{2}$ indicate about an event's likelihood?

    Neither unlikely nor likely. At $\frac{1}{2}$, the event has equal chance of happening or not.

46. Which probability is larger: $0.7$ or $0.3$?

    $0.7$. Larger probability values indicate greater likelihood.

47. Which probability best matches the phrase "very unlikely": $0.02$, $0.55$, or $0.95$?

    $0.02$. $0.02$ is near 0, matching "very unlikely" events.

48. What does a probability near $0$ indicate about an event's likelihood?

    Unlikely. Values close to 0 mean the event rarely happens.

49. What does a probability of $1$ mean about an event?

    The event is certain. A probability of 1 means the event will definitely happen.

50. Identify whether $P(E)=-0.2$ is a valid probability value.

    Invalid. Probabilities cannot be negative.

51. What does a probability of $1$ mean for an event?

    Certain event. The event will definitely happen every time.

52. What does a probability near $0$ indicate about an event's likelihood?

    The event is unlikely. Values close to 0 indicate low chance of occurrence.

53. What is the valid range of any probability value $P(E)$?

    $0 \le P(E) \le 1$. Probabilities must be between 0 (impossible) and 1 (certain).

54. Which probability indicates the most likely event: $0.25$, $0.5$, or $0.8$?

    $0.8$. Higher probability values mean greater likelihood.

55. Identify the probability that represents an impossible event: $0$, $\frac{1}{2}$, or $1$.

    $0$. Probability of 0 means cannot happen.

56. What does a probability near $0$ indicate about an event's likelihood?

    The event is unlikely. Values close to 0 indicate low chance of occurrence.

57. Choose the word that best describes $P(E)=0.02$: likely, unlikely, or neither.

    Unlikely. Very small probability indicates rare occurrence.

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