Sammy's mom is having triplets. Identify the sample space (the correct list of
possible outcomes) for the babies' genders.
M = male, F = female
The notation MFM means the first baby is male, the second baby is female,
and the third baby is male.
O A. {MMMM, MEMF, FFFF}
O B. {MMM, MMF, FFF}
O
C. {MM, MF, FM, FF}
O D. {MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF}

i need help!!

You can already eliminate A and C as we are dealing with triplets and should have sets of three. D is a better list rather than B, B would rather be a subset of D. So your correct answer would be D. You can easily create a tree diagram to prove this.

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priyankapandeyVT priyankapandeyVT · Answer 2 · 2022-08-01T07:56:03+02:00

The required Sample space for Sammy's mom has triplets is {MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF}. Option D is correct.

Sammy's mom is having triplets. The notation MFM means the first baby is male, the second baby is female, to Identify the sample space (the correct list of possible outcomes) for the babies' genders.

What is permutation?

permutation can be defined as the study of combinations.

The combination of babies in triplets for male and female.
Here male = M and female = F,
Now, we have triplets of babies so the combinations for the three could be
1 possibility, all of them are male, i.e. = MMM (male ,male ,male)
2 possibility, two male 1 female, i.e. = MMF (male, male, female)

Similarly, all other possibilities,MFM, MFF, FMM, FMF, FFM, FFF.

Sample space = {MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF}

Thus, the required Sample space for Sammy's mom has triplets is {MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF}. Option D is correct.

Learn more about permutation here:
https://brainly.com/question/1216161

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