Two litters of a particular rodent species have been born; first with two brownhaired and one gray-haired (litter 1) and the other with three brown-haired and two gray-haired (litter 2). We select a litter at random and then select an offspring at random from the selected litter. (i) What is the probability that the animal chosen is brown-haired

The probability that the animal chosen is brown-haired is 0.6333.

Step-by-step explanation:

Denote the events as follows:

A : a brown-haired rodent

B : Litter 1

The information provided is:

The probability of selecting any of the two litters is equal, i.e.

According to the law of total probability:

Compute the total probability of event A as follows:

Thus, the probability that the animal chosen is brown-haired is 0.6333.