Table of Contents
What is the probability of a family with two girls?
In a family with 2 children there are four possibilities: Since we are given that at least one child is a girl there are three possibilities: bg, gb, or gg. Out of those three possibilities the only one with two girls is gg. Hence the probability is 1 3.
How many possible combinations are there with only one child?
Now the question specifies that at least one of the children is a boy so the last (girl – girl) combination is omitted, leaving 3 possible combinations, all equally probable. In these combinations only one meets the conditions (Boy and Boy). Oldest child is a girl, second child is a girl. So four possible combinations, all equally probable.
What are the odds of having a boy with 5 siblings?
50/50. The likelihood of a child being either biologically male or female at birth still remains 50/50 regardless of all the other siblings. If a family as 5 girls, it’s still 50/50 whether the next one will be a boy or girl. There’s about a 2\% chance that any given human baby will be intersex, so add that into the calculation.
What is the probability of the oldest child being a boy?
Probability of being oldest is 1 5 and probability of being a boy is 2 5. Thus the probability of the oldest being a boy is 1 5 ⋅ 2 5 = 2 10. I’m a bit shakey about all my answers.
What is the probability that two people have the same birthday?
The first person could have any birthday (p = 365÷365 = 1), and the second person could then have any of the other 364 birthdays (p = 364÷365). Multiply those two and you have about 0.9973 as the probability that any two people have different birthdays, or 1−0.9973 = 0.0027 as the probability that they have the same birthday.
Are families with two girls more likely to be chosen?
In the first case, every family has the same probability of being chosen. However, in the second case, the families with two girls are more likely to be chosen than families with only one girl, because every girl has an equal chance of being chosen: the two-girl families have doubled their odds by having two girls.
How many people share a birthday with each other?
If there are 366 or more people, but only 365 possible birthdays disregarding leap year, then two or more of them mustshare a birthday. Here are some sample results: