In a game of Yahtzee, five balanced dice are rolled simultaneously. Find the probabilities of getting (a) two pairs; (b) three of a kind; (c) a full house (three of a kind and a pair); (d) four of a kind.

Following are the solution to this question:

Step-by-step explanation:

In point a, two pairs value is

In point b, the three of a kind

In point c, the value of the full house (three of a kind and a pair)

In point d, the value of the four of a kind

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.