Question

I’m trying to put together an app for fun that has a scenario where I need to figure out a probability equation for the following scenario:

Suppose I have a number of attempts at something and each attempt has a success rate (known ahead of time). What are the odds after doing all those attempts that a success happens?

For example there are three attempts (all will be taken individually).

The first is known to have a 60% success rate.
The second is known to have a 30% success rate.
The third is known to have a 75% success rate.
What are the odds of a success occurring if all three attempts are made?

I’ve tried several formulas and can’t pinpoint the correct one.

Thanks for the help!

Answer 1

Probability of winning is probability of not losing all three:
1 – (1 – 0.6)(1 – 0.3)(1 – 0.75)