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A population has an equal proportion of males and females. That is, when randomly selecting one...

A population has an equal proportion of males and females. That is, when randomly selecting one individual, the probability that the individual is male (M) is 1/2 and the probability that the individual is female (F) is 1/2. Each of the outcomes M and F have a probability 1/2 of occurring. What does this mean?
A. In the next four randomly selected individuals, the outcomes could be any combination of M and F.
B. In the next four randomly selected individuals, the outcomes will alternate between MFMF and FMFM.
C. In the next four randomly selected individuals, exactly two of the outcomes will be M.
D. In the next four randomly selected individuals, they cannot all be the same outcome

math   Statistics-And-Probability   
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Answer #1

Since both the outcomes have a probability 1/2 of occuring, they are equally likely to happen. If we randomly selected 4 individuals from the population, then it does not necessarily mean that they will follow an alternate pattern or exactly 2 will be M and exactly 2 will be F.
Hence, our answer will be: In the next four randomly selected individuals, the outcomes could be any combination of M and F.

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