There are three groups of drivers in a city: G1, G2, and G3.(adsbygoogle = window.adsbygoogle || []).push({});

G1 make up 30% of drivers, G2 make up 50% of drivers, and G3 make up the remaining 20% of drivers.

P(at least one accident for G1)=0.1 = P(A1)

P(at least one accident for G2)=0.3 = P(A2)

P(at least one accident for G3)=0.5 = P(A3)

If we randomly select a driver out of the groups and the driver has no accident, what is probability that the driver is from G3?

I tried [tex]P(G3 | (A1^{c} \cap A2^{c} \cap A3^{c}))[/tex]. Is this is the right method of solving such a question? The probability I got from this happened to be zero which sort of confirms that it's incorrect. Any advice will be great.

Thanks a lot.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Probability that the driver is from G3

**Physics Forums | Science Articles, Homework Help, Discussion**