TS EAMCET · Maths · Probability
If five dice are thrown simultaneously, then the probability that atleast three of them show the same numbered face is
- A \(\frac{16}{6^4}\)
- B \(\frac{452}{6^5}\)
- C \(\frac{276}{6^4}\)
- D \(\frac{123}{6^5}\)
Answer & Solution
Correct Answer
(C) \(\frac{276}{6^4}\)
Step-by-step Solution
Detailed explanation
Five dice are thrown simuItaneous \(n=5, p=\) probability of show same numbered face \(\therefore p=\frac{1}{6}, q=1-\frac{1}{6}=\frac{5}{6}\) \(\therefore\) Required probability \(=6(P(r \geq 3))=6[P(r=3)+P(r=4)+P(r=5)]\)…
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