Indian Navy Pilot Probability Equation — practice questions

Explore 2 free Probability Equation questions in Indian Navy Pilot Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Probability Equation questions and exercises with answers

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If $X \sim B(5, p)$ and $P(X = 4) = P(X = 3)$, then $p$ equals:Read the answer and worked solution →If $X \sim B(4, p)$ and $2P(X = 3) = 3P(X = 2)$, then $p$ equals:Read the answer and worked solution →

Worked practice questions

If $X \sim B(5, p)$ and $P(X = 4) = P(X = 3)$, then $p$ equals:

$1/3$
$1/2$
$2/3$
$3/4$

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Correct answer: C. $2/3$

${}^5C_4 p^4 q = {}^5C_3 p^3 q^2$ ⇒ $5p = 10q$ ⇒ $p = 2q$. With $p + q = 1$: $p = 2/3, q = 1/3$.

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If $X \sim B(4, p)$ and $2P(X = 3) = 3P(X = 2)$, then $p$ equals:

$4/13$
$5/13$
$9/13$
$6/13$

Show answer and solution

Correct answer: C. $9/13$

$2 \cdot {}^4C_3 p^3 q = 3 \cdot {}^4C_2 p^2 q^2$ ⇒ $8p = 18q$ ⇒ $p/q = 9/4$ ⇒ $p = 9/13, q = 4/13$.