Math ( Read my question in description )

Question

In the case of event A, which has a 40% chance of happening, there is a 60% chance to score a point. If event A does not happen, event B would have a 60% chance of happening which would result in a 39% chance to score a point. If neither events happen the chances of scoring a point are 30%. What are the chances of scoring a point? Explain please

Answer 1

Either event A or event B MUST happen, since their probabilities total 100%.

There is 0% change of neither happening.

The probability of scoring the point is:

0.4*0.6 + 0.6*0.39 + 0 * 0.30 =

0.24 + 0.234 =

0.474

= 47.4%