Total Probability of Two Independent Events

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Gralayer

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Feb 14, 2015
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Let's say that one event has a 20% chance of happening, and another event has a 40% chance of happening.
Both events are completely RNG.
The events are independent, and both can happen at the same time, but they don't have to.
What are the chances of either event happening, combined?
How do I calculate such a thing? Would the same calculation apply if there were 3 independent events that I was calculating for?
 
Gralayer said:
Let's say that one event has a 20% chance of happening, and another event has a 40% chance of happening.
Both events are completely RNG.
The events are independent, and both can happen at the same time, but they don't have to.
What are the chances of either event happening, combined?
How do I calculate such a thing? Would the same calculation apply if there were 3 independent events that I was calculating for?
Click to expand...
What does "Both events are completely RNG." mean?
 
Gralayer said:
Let's say that one event has a 20% chance of happening, and another event has a 40% chance of happening.
Both events are completely RNG.
The events are independent, and both can happen at the same time, but they don't have to.
What are the chances of either event happening, combined?
How do I calculate such a thing? Would the same calculation apply if there were 3 independent events that I was calculating for?
Click to expand...
Assuming that the "Both events are completely RNG." just means "both events are random", you can treat this as two unfair dice for a match/don't match problem.
H = Happens
D = Doesn't Happen
(One H, Two H) = 0.2 * 0.8 = 0.16
(One H, Two D) = 0.2 * 0.2 = 0.04
(One D, Two H) = 0.8 * 0.8 = 0.64
(One D, Two D) = 0.8 * 0.2 = 0.16
 
I get the following.
p(1,2) =0.2*0.4
p(1,2') =0.2*0.6
p(1',2) =0.8*0.4
p(1',2')=0.8*0.6
 
Jomo said:
I get the following.
p(1,2) =0.2*0.4
p(1,2') =0.2*0.6
p(1',2) =0.8*0.4
p(1',2')=0.8*0.6
Click to expand...
That's only if you do the problem as indicated and don't just make up a problem no matter what the facts. Of course, if you do that, you don't always provide help. In fact, you might even lead to more confusion:oops:

Of course I could just claim that I was providing an example so they could work out the problem but I'm not sure I would be believed.
 
Ishuda said:
That's only if you do the problem as indicated and don't just make up a problem no matter what the facts. Of course, if you do that, you don't always provide help. In fact, you might even lead to more confusion:oops:

Of course I could just claim that I was providing an example so they could work out the problem but I'm not sure I would be believed.
Click to expand...
I did not realize that you were giving an example and just did not want the student to be more confused. Thanks!
 
Jomo said:
I did not realize that you were giving an example and just did not want the student to be more confused. Thanks!
Click to expand...

Oh, you believed me. Thank you but I was being facetious. I did make the mistake in the first place.
 
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