Question

complete
based on these results, which of these statements
are true?
you would expect to get 0 heads and 3
heads about the same number of times.
you would expect to get 1 head and 2 heads
about the same number of times.
this would be a good experiment to use to
find the probability that a family has a dog or
a cat.
this would be a good experiment to use to
find the probability that a family with 3 kids
has 1 boy.
done

Explanation:

1. For coin flips (3 trials): The probability of 0 heads (TTT) is $\frac{1}{8}$, while 3 heads (HHH) is also $\frac{1}{8}$, so they are expected equally often.
2. The probability of 1 head (HTT, THT, TTH) is $\frac{3}{8}$, and 2 heads (HHT, HTH, THH) is also $\frac{3}{8}$, so they are expected equally often.
3. A coin flip experiment models binary, independent outcomes. Owning a dog/cat is not a binary, independent trial matching this, so it is not a good model.
4. A family having 1 boy out of 3 kids is a binary (boy/girl) independent outcome scenario, which matches the 3-coin flip model (each flip = child, heads = boy, tails = girl), so it is a good model.

Answer:

• You would expect to get 0 heads and 3 heads about the same number of times.
• You would expect to get 1 head and 2 heads about the same number of times.
• This would be a good experiment to use to find the probability that a family with 3 kids has 1 boy.