Question

2. In Australia, there are approximately 100 species of venomous snakes, but only about 12 have a deadly

bite. Suppose a zoo randomly selects one snake from each of five different species to show visitors.
What is the probability that exactly one of the five snakes shown is deadly?

Answer 1

The required probability is 0.3717.

Explanation:

Consider the provided information.

There are approximately 100 species of venomous snakes, but only about 12 have a deadly bite.

zoo randomly selects one snake from each of five different species to show visitors.

The total number of ways to select 5 different species out of 100 are:

`^(100)C_5=(100!)/(5!95!)=75287520`

We need to find the probability that exactly one of the five snakes shown is deadly.

That means out of 12 deadly bite we need to select only 1.

Thus, the number of ways are:

`^(12)C_1* ^(88)C_4=(12!)/(11!)\cdot(88!)/(4!84!)=27982680`

Hence, the required probability is:

`(27982680)/(75287520)\approx0.3717`

The required probability is 0.3717.