mrs gabriel is pregnant. the probability that she will give birth to a girl is 1/2 and with blue eyes is 1/4. what is the probability that she will give birth to a girl with blue eyes?
To determine the probability that Mrs. Gabriel will give birth to a girl with blue eyes, we need to consider the probabilities of two independent events: giving birth to a girl and giving birth to a baby with blue eyes.
The probability of giving birth to a girl is given as 1/2 (or 0.5). This means that there is a 50% chance that Mrs. Gabriel will give birth to a girl.
The probability of giving birth to a baby with blue eyes is given as 1/4 (or 0.25). This means that there is a 25% chance that Mrs. Gabriel will give birth to a baby with blue eyes.
Since these two events are independent, we can multiply their probabilities to find the probability of both events occurring together.
Probability of giving birth to a girl with blue eyes = Probability of giving birth to a girl * Probability of giving birth to a baby with blue eyes
Probability of giving birth to a girl with blue eyes = (1/2) * (1/4)
Simplifying the multiplication:
Probability of giving birth to a girl with blue eyes = 1/8
Therefore, the probability that Mrs. Gabriel will give birth to a girl with blue eyes is 1/8 or 0.125, which can also be expressed as 12.5%.