Question

Look over the probability rules/concepts (independent event, multiplication rule, and addition rule). make sure you understand them. what is the probability that a couple will have a girl, a boy, a girl, and a boy in this specific order

Answer 1

To calculate the probability of a couple having a girl, a boy, a girl, and a boy in that specific order, we can use the multiplication rule of probability. Assuming the probability of having a girl and a boy is 0.5 each, the probability is 0.0625 or 6.25%.

Step-by-step explanation:

The probability of a couple having a girl, a boy, a girl, and a boy in that specific order can be calculated using the multiplication rule of probability. As each birth is an independent event, the probability of each event occurring is multiplied together. Assuming the probability of having a girl is 0.5 and the probability of having a boy is also 0.5, the probability of having a girl, a boy, a girl, and a boy in that specific order is:

P(girl) x P(boy) x P(girl) x P(boy) = 0.5 x 0.5 x 0.5 x 0.5 = 0.0625

So, the probability of having a girl, a boy, a girl, and a boy in that specific order is 0.0625 or 6.25%.

Answer 2

The probability that a couple will have a girl, a boy, a girl, and a boy in this specific order is 1/2 * 1/2 * 1/2 * 1/2, or 1/16.

This probability is calculated using the multiplication rule, which states that the probability of multiple events occurring is found by multiplying the probabilities of the individual events. In this case, the probability of having a girl is 1/2, and the probability of having a boy is also 1/2. Since the order of the children matters, the probability of having a girl, a boy, a girl, and a boy in this specific order is found by multiplying the probabilities of each event: 1/2 * 1/2 * 1/2 * 1/2 = 1/16.

This probability assumes that the gender of each child is independent of the genders of the other children, which means that the gender of one child does not affect the probability of the genders of the other children. This is known as an independent event.