Question

The table below represents the status of different animals.Mammal Bird Reptile Amphibian TotalEndangered 59Threatened 12Total7175 14315 32 990 461215168219What is the approximate probability that the chosen animal is threatened and a reptile?

Answer 1

GIVEN:

We are given a table which shows the distribution of different classes of animals and all are grouped into two, either endangered or threatened.

Required;

If an animal is chosen at random, what is the approximate probability that the chosen animal is threatened and a reptile?

Step-by-step solution;

Note that the total number of threatened animals are 68 in number. Of these 32 are reptiles. That means out of a total of 219 animals altogether, 32 are threatened and a reptile.

Therefore, the approximate probability that the chosen animal is threatened and a reptile will be;

`\begin{gathered} P[threatened\text{ }and\text{ }reptile]=(32)/(219) \\ \\ P[threatened\text{ }and\text{ }reptile]=0.146118721461 \\ \\ Approximate\text{ }to\text{ }2\text{ }decimal\text{ }places: \\ \\ P[threatened\text{ }and\text{ }reptile]\approx0.15 \end{gathered}`

Therefore,

ANSWER:

The approximate probability that an animal chosen at random is threatened and a reptile is 0.15 or expressed as a percentage will be 15%.