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Samantha has a bag of candy full of 10 strawberry chews and 10 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 cherry chew?
an equal chance or
50-50
impossible
certain
likely

Samantha has a bag of candy full of $10$ strawberry chews and $10$ 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 cherry chew? $\newline$ an equal chance or $50-50$ $\newline$ impossible $\newline$ certain $\newline$ likely

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Find probabilities using the addition rule

Full solution

Q. Samantha has a bag of candy full of

10

strawberry chews and

10

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 cherry chew?

\newline

an equal chance or

50-50

\newline

impossible

\newline

certain

\newline

likely

Define Total Number of Chews: Let's define the total number of chews in the bag. Samantha has $10$ strawberry chews and $10$ cherry chews, which makes a total of $10 + 10 = 20$ chews.
Determine Probability of Cherry Chew: Now, we need to determine the probability of pulling out a cherry chew. Since there are $10$ cherry chews out of a total of $20$ chews, the probability is the number of cherry chews divided by the total number of chews. So, the probability $P(\text{cherry chew})$ is $\frac{10}{20}.$
Simplify Fraction to Lowest Terms: Simplify the fraction $\frac{10}{20}$ to its lowest terms to find the probability in the simplest form. Dividing both the numerator and the denominator by $10$ , we get $\frac{1}{2}$ .
Describe Probability in Words: The probability of $\frac{1}{2}$ can be described in words as an equal chance, or $50$ - $50$ . This means that Samantha has an equal chance of pulling out a cherry chew as she does a strawberry chew.

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