A researcher is studying fraternal triplets who have developed from individual eggs. She knows there is an equally likely probability of each triplet being either sex.
What is the probability that all three babies are boys??????
(1/2)^3 = 1/8
To find the probability that all three babies are boys, we need to use the concept of independent events. Since each triplet has an equal chance of being either a boy or a girl, we can say that the probability of each triplet being a boy is 1/2, and the probability of each triplet being a girl is also 1/2.
Since there are three triplets, and the events are independent, we can multiply the probabilities together to find the probability of all three being boys:
P(All three are boys) = P(Boy) * P(Boy) * P(Boy)
P(All three are boys) = (1/2) * (1/2) * (1/2)
P(All three are boys) = 1/8
Therefore, the probability that all three babies are boys is 1/8, or 0.125, which is equivalent to 12.5%.
To calculate the probability of all three babies being boys, we need to consider the probability of each baby being a boy and multiply them together.
Since each baby has an equal chance of being either sex, the probability of each baby being a boy is 1/2 or 0.5.
To find the probability of all three babies being boys, we need to multiply the probabilities together:
P(3 boys) = P(boy) * P(boy) * P(boy)
= 0.5 * 0.5 * 0.5
= 0.125
Therefore, the probability that all three babies are boys is 0.125 or 12.5%.
Now, let's explain how we arrived at this answer:
1. Understanding the question: The question asks for the probability that all three babies are boys. We are told that the triplets have developed from individual eggs, and the probability of each baby being a boy is equally likely.
2. Identifying the probabilities: Since each baby has an equal chance of being either sex, we can assign a probability to each baby being a boy or a girl. In this case, the probability of a boy is 1/2 or 0.5, and the probability of a girl is also 1/2 or 0.5.
3. Applying the multiplication principle: To find the probability of independent events happening together, we multiply the probabilities of each individual event.
4. Calculating the probability: To find the probability of all three babies being boys, we multiply the probability of a boy for each baby: (0.5 * 0.5 * 0.5) = 0.125 or 12.5%.
Therefore, the probability of all three babies being boys is 0.125 or 12.5%.