Probability
Probability of Events
Grade 12
Question:
<p>If birth to a male child and birth to a female child are equally probable, then what is the probability that at least one of the three children born to a couple is male?</p>
<p>(a) \(\frac{4}{5}\)</p>
<p>(b) \(\frac{7}{8}\)</p>
<p>(c) \(\frac{8}{7}\)</p>
<p>(d) \(\frac{1}{2}\)</p>
Step-by-Step Solution
Key Concept: Use complement: P(at least one) = 1 - P(none)
<p>P(at least one male) = 1 - P(no males) = 1 - P(all females) = 1 - (1/2)³ = 1 - 1/8 = 7/8</p>
Correct Answer: B