To determine the probability of a couple having two children and both are boys, you:Group of answer choicesmultiply the probabilities of each event happening separately (i.e., ½ x ½ = ¼).add their individual probabilities (i.e., ½ + ½ = 1).Next
Question
To determine the probability of a couple having two children and both are boys, you:Group of answer choicesmultiply the probabilities of each event happening separately (i.e., ½ x ½ = ¼).add their individual probabilities (i.e., ½ + ½ = 1).Next
Solution 1
Solution 2
You multiply the probabilities of each event happening separately. This is because the events are independent of each other. The probability of having a boy or a girl is always 1/2, regardless of the gender of the first child. So, the probability of having two boys is 1/2 (for the first child being a boy) times 1/2 (for the second child being a boy), which equals 1/4.
Solution 3
You multiply the probabilities of each event happening separately. This is because the events are independent of each other. The probability of having a boy or a girl is always 1/2, regardless of the gender of the first child. So, the probability of having two boys is 1/2 (probability of first child being a boy) times 1/2 (probability of second child being a boy), which equals 1/4.
Similar Questions
A couple has two children. If the odds of having a boy or girl are equal, and if one of the children is a girl, what is the probability that both are girls?
A couple is planning to have three children. What is the probability that:a. All of the children will be girls?b. Two of the children will be boys?c. At least 2 of the children will be girls?d. The couple will have 2 boys at the most?
To determine the probability of two or more independent events occurring together, you:Group of answer choicesmultiply the probabilities of each event happening separately (i.e., ½ x ½ = ¼).add their individual probabilities (i.e., ½ + ½ = 1).
A couple is planning to have 3 children. Assuming that having a boy and having a girl are equally likely, and that the gender of one child has no influence on (or, is independent of) the gender of another, what is the probability that the couple will have exactly 2 girls?The "random experiment" in this case is having 3 children, as odd as that may sound in this context. The next and most important step is to determine what all of the possible outcomes are, and list them (i.e., list the sample space S). In this case, each outcome represents a possible combination of genders of 3 children (note that examples with the same number of boys and girls but a different birth order must be listed separately).What is the sample space in this case? (Use B for boy and G for girl).
Assume that each born child is equally likely to be a boy or a girl. If a family has two children, what is the conditional probability that both are girls given that (i) the youngest is a girl, (ii) at least one is a girl ?
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