The king's sibling. The king has only one sibling. What is

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QUESTION:

The king has only one sibling. What is the probability that the sibling is male? Assume that every birth results in a boy with probability 1/2, independent of other births. Be careful to state any additional assumptions you have to make in order to arrive at an answer.

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QUESTION:

The king has only one sibling. What is the probability that the sibling is male? Assume that every birth results in a boy with probability 1/2, independent of other births. Be careful to state any additional assumptions you have to make in order to arrive at an answer.

ANSWER:

Step 1 of 3

Given that,

The king has only one sibling.

It is required to compute the probability that the sibling is male.

It is assumed that every birth results in a boy with probability 1/2, independent of other births.

The king has only one sibling. This implies that the family has only two children.

This means:

a. The family has a boy, the king.

b. The king has a sibling (either male or female).

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