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Vanyuwa [196]
3 years ago
6

A table with four legs will sometimes wobble if one leg is shorter than the other three, but a table with three legs will not wo

bble. Select the postulate that substantiates this fact.
Mathematics
1 answer:
kaheart [24]3 years ago
3 0
Postulate 3 would be the answer
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Suppose a family has three children of different ages. We assume that all combinations of boys and girls are equally likely. (a)
Ivan

Answer:

a) There are 8 possible combinations and each probability is 1/8.

b) The probability that it is a boy given that there are two girls is 3/8

Step-by-step explanation:

a) The sample space is given by:

BBB (3 boys)

BBG (Boy, boy, girl)

BGB (Boy, girl, boy)

BGG (Boy, girl, girl)

GBB (girl, boy, boy)

GBG (girl, boy, girl)

GGB (girl, girl, boy)

GGG (3 girls)

The probability of each combination is the same:

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2) There are three possible combinations in which there are 2 girls and 1 boy:

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So the probability is given by:

P(BGG ∪ GBG ∪ GGB)=\frac{1}{2} \frac{1}{2} \frac{1}{2}+\frac{1}{2} \frac{1}{2} \frac{1}{2}+\frac{1}{2} \frac{1}{2} \frac{1}{2}=\frac{3}{8}

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3 years ago
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