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Home » How the Emperor of Mankind Defied Reality—Shocking Facts You Need to Know! - Abu Waleed Tea

How the Emperor of Mankind Defied Reality—Shocking Facts You Need to Know! - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Substitute values:

📌 P(2) = \binom{4}{2} \left(\frac{1}{6}\right)^2 \left(\frac{5}{6}\right)^2

📌 \binom{4}{2} = 6, \quad \left(\frac{1}{6}\right)^2 = \frac{1}{36}, \quad \left(\frac{5}{6}\right)^2 = \frac{25}{36}

📌 P(2) = 6 \times \frac{1}{36} \times \frac{25}{36} = \frac{150}{1296} = \frac{25}{216}

📌 Thus, the probability is $\boxed{\dfrac{25}{216}}$

📌 Question: How many distinct words can be formed using all the letters in the word "BIOINFORMATICS" if the letters must be arranged such that all vowels appear consecutively?

📌 Solution: First, identify the vowels and consonants in "BIOINFORMATICS".

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The volume \( V \) of a sphere is given by the formula:
V = \frac{4}{3} \pi r^3
Calculate the volume of the drone, with radius \( r = 5 \) meters:
V_{\text{drone}} = \frac{4}{3} \pi (5)^3 = \frac{4}{3} \pi \times 125...
Calculate the volume of the propeller, with radius \( r = 1 \) meter:
V_{\text{propeller}} = \frac{4}{3} \pi (1)^3 = \frac{4}{3} \pi
The ratio of the volume of the propeller to the volume of the drone is...
\text{Ratio} = \frac{V_{\text{propeller}}}{V_{\text{drone}}} = \frac{\...
Simplify the ratio:
\text{Ratio} = \frac{4}{500} = \frac{1}{125}

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