Free Practice Question
PS · Problem Solving
555-605
Probability
Sofia purchased 5 black pencils along with a certain quantity of red and green pencils, each costing 20 cents, and carried them in a single bag. Once she arrived home, she randomly selected one pencil to jot down a message and then returned it to the bag. Later, she needed to write another message and again picked a pencil from the bag. If the probability that both messages were written with black pencils is 1/25, what was the total amount she spent on all the pencils?
Answer Choices
Correct answer marked belowA
$4
B
$4.2
C
$4.4
D
$4.6
$5.0
Correct
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Explanation
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Official Explanation
Official
Sofia bought 5 black pencils and a certain number of red and green pencils, each priced at 20 cents. After selecting one pencil at random to write a message and putting it back, she later picked another pencil. The probability of selecting a black pencil both times is given as 1/25. Let the total number of pencils be t. The probability of picking a black…
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Comments
2
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L
LauraApr 8, 2024
thanks!
K
KaiApr 4, 2024
Great question!
What this question tests
What it tests
Your ability to compute probabilities of single and compound events, including 'at least one' questions.
Common trap
Forgetting to use the complement for 'at least one', or treating dependent events as independent.
Details
Difficulty
555-605
Type
PS
Category