Suppose a couple has four children. Assume that each child is equally likely to be a boy or a girl, regardless of the outcome of previous births. The following table shows the results of a simulation to determine the gender breakdown in 20 families. Number of girls 1 2 4. Probability = 0.1 - 0.2 20 읊-0.3 %3D 20 * - 0.1 20 a. Based on the simulation results, which is more likely, a 2:2 split of boys and girls or a 3:1 split in either direction? A split is more likely with a probability of b. Write out the sample space and calculate the exact probabilities for the various possible gender breakdowns. Enter the exact answer as a decimal. Number of giris 2 3 4 Probability c. Reanswer part a. using exact probabilities.

A First Course in Probability (10th Edition)
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Suppose a couple has four children. Assume that each child is equally likely to be a boy or a girl, regardless of the outcome of previous births. The following table shows the results of a simulation to
determine the gender breakdown in
20
families.
Number of girls
1
2
4.
Probability
= 0.1 - 0.2
20
읊-0.3
%3D
20
* - 0.1
20
a. Based on the simulation results, which is more likely, a 2:2 split of boys and girls or a 3:1 split in either direction?
A
split is more likely with a probability of
b. Write out the sample space and calculate the exact probabilities for the various possible gender breakdowns.
Enter the exact answer as a decimal.
Number of giris
2
3
4
Probability
c. Reanswer part a. using exact probabilities.
Transcribed Image Text:Suppose a couple has four children. Assume that each child is equally likely to be a boy or a girl, regardless of the outcome of previous births. The following table shows the results of a simulation to determine the gender breakdown in 20 families. Number of girls 1 2 4. Probability = 0.1 - 0.2 20 읊-0.3 %3D 20 * - 0.1 20 a. Based on the simulation results, which is more likely, a 2:2 split of boys and girls or a 3:1 split in either direction? A split is more likely with a probability of b. Write out the sample space and calculate the exact probabilities for the various possible gender breakdowns. Enter the exact answer as a decimal. Number of giris 2 3 4 Probability c. Reanswer part a. using exact probabilities.
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