QuestionThere is a chance of having a child that is either a boy or a girl. If a couple has three girls, what is the probability their 4th child will be another girl?
Studdy Solution
STEP 1
1. The probability of having a boy or a girl is independent of previous births.
2. Each child's gender is determined independently with a probability of for a girl and for a boy.
STEP 2
1. Identify the probability of having a girl.
2. Determine the probability of the 4th child being a girl.
STEP 3
The probability of having a girl for any given child is:
STEP 4
Since the probability of each child's gender is independent of previous children, the probability that the 4th child is a girl remains:
The probability that the 4th child will be a girl is:
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