In a row, there are 4 identical green balls, 3 identical yellow balls, and 1 identical purple ball. What is the probability that the first four balls in the row are green balls?

Answer Choices

Correct answer marked below

\frac{1}{210}

\frac{1}{105}

\frac{1}{70}

Correct

\frac{1}{35}

\frac{8}{35}

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Explanation

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Official Explanation

Official

To find the probability that the first four balls are green, we first calculate the total arrangements of the balls. The total number of balls is 8 (4 green, 3 yellow, 1 purple). The total arrangements of these balls is given by the formula for permutations of…

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Comments

AryanFeb 15, 2025

Great!

NikodemMay 24, 2024

appreciated!

AfnanJun 10, 2024

Thank for sharing!!!

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.