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3 years ago

There is a bag of 50 marbles.

Mathematics

1 answer:

Rainbow [258]3 years ago

4 0

The answer may be $\frac{12}{9}$

Step-by-step explanation:

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3 years ago

Suppose a family has three children of different ages. We assume that all combinations of boys and girls are equally likely. (a)

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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)

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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