Question

PLEASE NO LINKS

Answer 1

Considering the definition of probability, the correct answer is third option: the approximate probability of a moth being brown and yellow respectively is 33% and 21%

Probability is the greater or lesser possibility of a certain event occurring.

In other words, probability establishes a relationship between the number of favorable events and the total number of possible events.

Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

$P(A)=\frac{number of favorable cases}{total number of possible cases}$

In this case, you know that in a moth population, 48 are brown, 30 are yellow, and 67 are black. So, the total number of possible cases is calculated as:

total number of possible cases= 48 + 30 + 67= 145

The number of favorable cases for a moth to be brown is: 48

Then the probability that a moth is brown is calculated as:

$P(A)=\frac{48}{145}$= 0.33= 33%

On the other side, the number of favorable cases for a moth to be yellow is: 30

Then the probability that a moth is yellow is calculated as:

$P(A)=\frac{30}{145}$= 0.21= 21%

In summary, the correct answer is third option: the approximate probability of a moth being brown and yellow respectively is 33% and 21%

Learn more about probability:

• brainly.com/question/23297275?referrer=searchResults