If 1 in 5 vehicles are green, and I have 5 vehicles, what is the probability of me having a green vehicle?

1 Answer
MeneerNask
Apr 25, 2016

In cases like this it is better to compute the chance that you have no green verhicle at all.

Explanation:

It's like throwing a five-sided dye.
The probability for your first vehicle to be not-green is #4/5#

This goes for all five, so the total probability of all vehicles to be not-green (this is an AND-question, so you MULTIPLY):

#4/5xx4/5xx4/5xx4/5xx4/5=(4/5)^5=1024/3125~~0.33=33%#

So the probability of you having at least one green vehicle is:

#1-0.33=0.67# or #100%-33%=67%#

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