How to solve this problem A government contractor bids on tw

How to solve this problem?

A government contractor bids on two separate contracts. The contractor has determined that there is a 30 percent probability of winning contract A and a 40 percent probability of winning contract B. Find the probability of:

Winning both contracts

Winning at least one contract

Winning exactly one contract

Losing both contracts

Solution

Probability of an event A i.e.

There are 2 contracts that can be won,

So 4 events can occur, those are

Government contractor

So probability of winning atleast one contract is sum of all ablove 3 possiblilities = 0.18 +0.28+ 0.12 =0.58 i.e. 58%