Probability
Grade 12

Question:

<p>A bag contains 4 yellow and 8 white balls (12 total). Two balls are drawn at random without replacement. The probability that both drawn balls are white is</p>
A
B
C
D

Step-by-Step Solution

Key Concept: P(both white) = C(8,2)/C(12,2).
<p>8 white, 4 yellow, 12 total.</p><p>$P(\text{both white}) = \dfrac{\binom{8}{2}}{\binom{12}{2}} = \dfrac{28}{66} = \dfrac{14}{33}$</p>
Correct Answer: B

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