Asked by Marish Quilicot on Jul 25, 2024
Verified
A family has two children.If all outcomes are equally likely,what is the probability that they have a boy and a girl?
A) 1/4
B) 1/2
C) 1/3
D) 2/3
E) 1
Equally Likely
A term used in probability to describe events that have the same chance of occurring.
Probability
A numerical value representing the chance of an event's occurrence, between 0 and 1, where 0 stands for impossible and 1 for certain.
- Apprehend primary probability principles and their respective calculations.
Verified Answer
VW
Velma WimbushJul 27, 2024
Final Answer :
B
Explanation :
The possible outcomes for two children are BB, BG, GB, and GG (where B represents a boy and G represents a girl). Each of these outcomes is equally likely.
Out of these four outcomes, only one outcome has one boy and one girl (BG and GB are considered the same outcome since order doesn't matter). Therefore, the probability of having a boy and a girl is 1/2 or 50%.
Out of these four outcomes, only one outcome has one boy and one girl (BG and GB are considered the same outcome since order doesn't matter). Therefore, the probability of having a boy and a girl is 1/2 or 50%.
Learning Objectives
- Apprehend primary probability principles and their respective calculations.
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