Among finches males and females have one of the three colours - Red, Blue or Yellow - on their head. During the mating season, males and females pair up randomly. For a large population of finches with 50% red, 30% blue and 20% yellow coloured individuals among both males and females, what is the expected number of pairings between red males and yellow females if the total number of pairs formed is 10000?

Correct option is C

Solution:
Since males and females pair randomly, we assume that the proportion of red, blue, and yellow is the same
for both males and females (i.e., 50% of males are red, 30% of males are blue, and 20% of males are yellow
and the same proportions apply to females).
To find the expected number of red male–yellow female pairings:
The probability of selecting a red male is 50% = 0.50
The probability of selecting a yellow female is 20% = 0.20.
The expected number of red male–yellow female pairings is the product of these probabilities and
The total number of pairs = Expected number of red male-yellow female pairs=0.50×0.20×10,000=0.10×10,000=1,000 The expected number of pairings between red males and yellow females is 1,000 
Pairing is random, meaning the probability of selecting any male or female of a specific color is proportional to their
population distribution.
Hence, option ( c) is correct.