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Binomial Probability Theorem

The probabili...

Question

The probability of a number ‘n’ showing in a throw of a die marked 1 to 6 is proportional to ‘n’. If p represents the probability that the die shows 3, then the value of $\frac{1}{p}$ is___

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Solution

$P (n) = k n p (E_{1}) + P (E_{2}) - - - - - - - - - - - - + P (E_{6}) = 1 \Rightarrow k (1 + 2 + \dots \dots + 6) = 1 \Rightarrow k = \frac{1}{21} P = P (3) = \frac{3}{21} = \frac{1}{7}$

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