Three boys and four girls enter a contest at the local movie theater.
A randomly chosen winner will be awarded a free movie ticket, a collectible poster, or free popcorn. What is the probability that a girl will win free popcorn?
(A) \( \frac{3}{21} \)
(B) \( \frac{4}{21} \)
(C) \( \frac{3}{7} \)
(D) \( \frac{4}{7} \)

Answer

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Answer

Calculate the probability: \( \frac{4}{21} \)

Steps

Step 1 ：Find the total number of possible outcomes: \( 7 \times 3 = 21 \)

Step 2 ：Find the number of outcomes where a girl wins free popcorn: \( 4 \times 1 = 4 \)

Step 3 ：Calculate the probability: \( \frac{4}{21} \)