JEE Mains · Maths · STD 11 - 14. probability
Three dice are rolled. If the probability of getting different numbers on the three dice is \(\frac{p}{q}\), where \(p\) and \(q\) are co-prime, then \(q- p\) is equal to
- A \(4\)
- B \(3\)
- C \(1\)
- D \(2\)
Answer & Solution
Correct Answer
(A) \(4\)
Step-by-step Solution
Detailed explanation
Total number of ways \(=6^3=216\) Favourable outcomes \({ }^6 p _3=120\) \(\Rightarrow \text { Probability }=\frac{120}{216}=\frac{5}{9}\) \(\Rightarrow p =5, q =9\) \(\Rightarrow q - p =4\)
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