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if in a binomial distribution n 4 and p x 0 dfrac1
Question:
If in a binomial distribution n=4 and P(X=0)=dfrac16
81, then P(X=4) equals
Show Hint
Use P(X=0)=(1-p)ⁿ to find p.
BITSAT - 2019
BITSAT
Updated On:
Mar 20, 2026
\(\dfrac{1}{16}\)
\(\dfrac{1}{81}\)
\(\dfrac{1}{27}\)
(1)/(8)
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The Correct Option is
B
Solution and Explanation
(1-p)⁴=(16)/(81)⟹ 1-p=(2)/(3)⟹ p=(1)/(3) P(X=4)=p⁴=(1)/(81)
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