For the given pair of events a and b, complete parts (a) and (b) below.

a. when a baby is born, it is a girl.
b. when a 16-sided die is rolled, the outcome is 1.

a. determine whether events a and b are independent or dependent. (if two events are technically dependent but can be treated as if they are independent according to the 5% guideline, consider them to be independent.)
b. find p(a and b), the probability that events a and b both occur.

(a) Option A. independent

(b)

Step-by-step explanation:

Two events A and B are considered dependent if the occurrence of one affects the probability of occurrence of another.

In this case, the events are independent because the birth of a girl or a boy does not affect the probability of obtaining a 1 by throwing a 16-sided die.

In the same way, throwing a die and obtaining the number 1 does not affect the probability that a baby is a girl or a boy.

When two events are independent then

The probability that a baby is a girl is

The probability of obtaining a 1 when casting a 16-sided die is:

Then:

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