CUET · MATHS · PYQ PAPER 2023
In binomial distribution with \(n =10\) and \(P =1\), the probability of the event that unequal number 3 of failures and successes occur is:
- A \(5665 / 6561\)
- B \(6905 / 6912\)
- C \(5556 / 6561\)
- D \(5665 / 6912\)
Answer & Solution
Correct Answer
(A) \(5665 / 6561\)
Step-by-step Solution
Detailed explanation
\(n = 10\), \(p = 1/3\), \(q = 1 - p = 2/3\) Event: unequal number of failures and successes, i.e., \(S \neq F\). Since \(S + F = n = 10\), \(S \neq F\) implies \(S \neq 5\). \(P(S \neq 5) = 1 - P(S=5)\)…
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