The probability that a randomly selected jury of 12 people is all male is 2.1 × 10⁻⁵.
What is the probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
An order does not matter so it is a Combination.
There are 16 men and we are going to choose 12 --> ₁₆C₁₂
There are 30 people and we are going to choose 12 --> ₃₀C₁₂
₁₆C₁₂ / ₃₀C₁₂
[tex]= \frac{16!}{(16 - 12)!} \div \frac{30!}{(30 - 12)!}[/tex]
= 0.00002104211
= 2.1 × 10⁻⁵
Hence, the probability that a randomly selected jury of 12 people is all male is 2.1 × 10⁻⁵.
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