Answer:
3:4
Step-by-step explanation:
there are 3 sides on a triangle and 4 on a square
Answer:
2
Step-by-step explanation:
Using the binomial distribution, it is found that there is a 0.5 = 50% probability of selecting a two-child family with one boy and one girl.
For each child, there are only two possible outcomes, either it is a boy, or it is a girl. The probability of a child being a boy or being a girl is independent of any other child, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- Two children, hence
. - Equally as likely to be a boy or a girl, hence
.
The probability of one of each is P(X = 1), hence:
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 1) = C_{2,1}.(0.5)^{1}.(0.5)^{1} = 0.5](https://tex.z-dn.net/?f=P%28X%20%3D%201%29%20%3D%20C_%7B2%2C1%7D.%280.5%29%5E%7B1%7D.%280.5%29%5E%7B1%7D%20%3D%200.5)
0.5 = 50% probability of selecting a two-child family with one boy and one girl.
A similar problem is given at brainly.com/question/24863377