COMEDK · Maths · 36. Probability
Three houses are available in a locality. Three persons apply for the houses.
Each applies for one house without consulting others. The probability that all three apply for the same house is
- A \(\dfrac{1}{4}\)
- B \(\dfrac{8}{9}\)
- C \(\dfrac{7}{9}\)
- D \(\dfrac{1}{9}\)
Answer & Solution
Correct Answer
(D) \(\dfrac{1}{9}\)
Step-by-step Solution
Detailed explanation
Each of the three persons can apply for any of the three houses. Since each person has 3 choices, the total number of ways for three persons to apply for the houses is \(3 \times 3 \times 3 = 3^3 = 27\). For all three persons to apply for the same house, they must all choose…
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