What is the probabiliy that Pinder will pass both exams

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Pinder has examinations coming up in data management and biology. He estimates that his odds in favour of passing the data-management examination are 17:3 and his odds against passing the biology examination are 3:7. Assume these to be independent events.

a) What is the probabiliy that Pinder will pass both exams

I know that you have to find the probability of each first, then multiply them, but how do you find the probability?

thanks.
 
Odds are in a ratio. For instance, out of 20 attempts, he will pass 17 times and fail 3 times.

So, the probability of passing is 17/20. See?. 17+3 = 20.
 
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