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Elizabeth has a bag of candy full of 17 strawberry chews and 3 cherry chews that she eats one at a time. Which word or phrase describes the probability that she reaches in without looking and pulls out a strawberry chew?
likely
impossible
an equal chance or
50-50
certain

Elizabeth has a bag of candy full of $17$ strawberry chews and $3$ cherry chews that she eats one at a time. Which word or phrase describes the probability that she reaches in without looking and pulls out a strawberry chew? $\newline$ likely $\newline$ impossible $\newline$ an equal chance or $50-50$ $\newline$ certain

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Find probabilities using the addition rule

Full solution

Q. Elizabeth has a bag of candy full of

17

strawberry chews and

3

cherry chews that she eats one at a time. Which word or phrase describes the probability that she reaches in without looking and pulls out a strawberry chew?

\newline

likely

\newline

impossible

\newline

an equal chance or

50-50

\newline

certain

Calculate Total Chews: Let's define the total number of chews in the bag. $\newline$ Total chews $= \text{strawberry chews} + \text{cherry chews}$ $\newline$ Total chews $= 17 + 3$ $\newline$ Total chews $= 20$
Calculate Probability: Now, let's calculate the probability of pulling out a strawberry chew. Probability (strawberry chew) = $\frac{\text{Number of strawberry chews}}{\text{Total number of chews}}$ Probability (strawberry chew) = $\frac{17}{20}$
Determine Probability Description: To determine the word or phrase that describes this probability, we need to consider the value of the probability we just calculated. $\newline$ The probability of $\frac{17}{20}$ is less than $1$ but significantly greater than $\frac{1}{2}$ . This means that it is more likely than not that Elizabeth will pull out a strawberry chew.

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