Needing help on my geometry final, I have been in and out of the hospital, any help is appreciated.
1 answer:
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Answer:
Step-by-step explanation:
Assuming this problem :"Only 30% of the students in a certain liberal arts college are males. If two students from this college are selected at random, what is the probability that they are both males?"
Previous concepts
An independent event is an "event that has no connection to another event's chances of happening ". For this case we can assume that if one person is male and if we select another one the probability that this one would be male or female is totally indepedent from the first selection.
When we have two independent events let's say A and B and we want to find the probability that both events occurs at the same time we can use the following formula:
Solution to the problem
We can define some notation:
first person selected is a male
second person selected is male
On this case we want the probability that both would be males. And we can express this like this on math terms:
For this case we can assume that the two events are independent. And in order to find the probability for two events independents events we just need to multiply the probabilities of each one like this:
Answer:
Step-by-step explanation:
We can write the following system of equations:
Adding both equations together, we isolate and get:
Plugging in any of the equations, we can solve for
:
Verify that the solution pair works
Therefore, the two numbers are .