To determine the percentage probability that a randomly selected family with exactly three biological children will have all boys, follow these steps:

1. **Assume Equal Probability**: Assume that the probability of having a boy or a girl is equal, which is 50% or 0.5 for each child.

2. **Calculate the Probability for Each Child**: Since the probability of having a boy is 0.5, the probability of having three boys in a row is calculated by multiplying the probability for each child:
$$
P(\text{all boys}) = 0.5 \times 0.5 \times 0.5
$$

3. **Perform the Multiplication**:
$$
P(\text{all boys}) = 0.5^3 = 0.125
$$

4. **Convert to Percentage**: To convert the probability to a percentage, multiply by 100:
$$
\text{Percentage Probability} = 0.125 \times 100 = 12.5\%
$$

Therefore, the percentage probability that a randomly selected family in the study will have all boys is 12.5%.

Question

To determine the percentage probability that a randomly selected family with exactly three biological children will have all boys, follow these steps:

1. **Assume Equal Probability**: Assume that the probability of having a boy or a girl is equal, which is 50% or 0.5 for each child.

2. **Calculate the Probability for Each Child**: Since the probability of having a boy is 0.5, the probability of having three boys in a row is calculated by multiplying the probability for each child:
   $$
   P(\text{all boys}) = 0.5 \times 0.5 \times 0.5
   $$

3. **Perform the Multiplication**:
   $$
   P(\text{all boys}) = 0.5^3 = 0.125
   $$

4. **Convert to Percentage**: To convert the probability to a percentage, multiply by 100:
   $$
   \text{Percentage Probability} = 0.125 \times 100 = 12.5\%
   $$

Therefore, the percentage probability that a randomly selected family in the study will have all boys is 12.5%.

Knowee AI · Accepted Answer

To determine the percentage probability that a randomly selected family with exactly three biological children will have all boys, follow these steps:

1. **Assume Equal Probability**: Assume that the probability of having a boy or a girl is equal, which is 50% or 0.5 for each child.

2. **Calculate the Probability for Each Child**: Since the probability of having a boy is 0.5, the probability of having three boys in a row is calculated by multiplying the probability for each child:
   $$
   P(\text{all boys}) = 0.5 \times 0.5 \times 0.5
   $$

3. **Perform the Multiplication**:
   $$
   P(\text{all boys}) = 0.5^3 = 0.125
   $$

4. **Convert to Percentage**: To convert the probability to a percentage, multiply by 100:
   $$
   \text{Percentage Probability} = 0.125 \times 100 = 12.5\%
   $$

Therefore, the percentage probability that a randomly selected family in the study will have all boys is 12.5%.

WINK, Inc., conducted a demographic study of thousands of families that have exactly three biological children. What is the percentage probability that a randomly selected family in the study will have all boys?

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