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Sophie buys a ticket for a raffle with several prizes. The probability that she wins a prize is 
(4)/(5). Which word or phrase describes the probability that Sophie will win a prize?
likely
certain
an equal chance or 50-50
impossible

Sophie buys a ticket for a raffle with several prizes. The probability that she wins a prize is 45 \frac{4}{5} . Which word or phrase describes the probability that Sophie will win a prize?\newlinelikely\newlinecertain\newlinean equal chance or 505050-50\newlineimpossible

Full solution

Q. Sophie buys a ticket for a raffle with several prizes. The probability that she wins a prize is 45 \frac{4}{5} . Which word or phrase describes the probability that Sophie will win a prize?\newlinelikely\newlinecertain\newlinean equal chance or 505050-50\newlineimpossible
  1. Given Probability Information: We are given the probability that Sophie wins a prize as 45\frac{4}{5} or 00.88 when converted to a decimal. This probability is a measure of how likely an event is to occur. We need to match this probability with the correct descriptive word or phrase from the given options.
  2. Interpreting Probability: The probability of 0.80.8 means that Sophie has an 80%80\% chance of winning a prize. This is a high probability, indicating that the event is more likely to happen than not. Now we need to compare this probability with the descriptive terms provided.
  3. Matching with Descriptive Terms: The term "likely" is used to describe an event that has a high chance of occurring but is not certain. Since Sophie's probability of winning is high 0.80.8, but not 11 (which would be certain), "likely" seems to be the appropriate description.
  4. Excluding 'Certain' Term: The term "certain" would only be appropriate if the probability of winning was 11 (or 100%100\%). Since Sophie's probability of winning is less than 11, we cannot use the term "certain."
  5. Excluding 'Equal Chance' Term: An "equal chance or 505050-50" would imply a probability of 0.50.5, which is not the case here as Sophie's probability of winning is 0.80.8. Therefore, this description does not fit the given probability.
  6. Excluding 'Impossible' Term: The term "impossible" would be used if the probability of winning was 00. Since Sophie's probability of winning is greater than 00, this term does not apply.

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