Question

If a probability of winning a game is 0.3, then find the probability of losing it.

Answer 1

Hint: We have been given the probability of winning, we will use the fact that the sum of all the possible probability must be equal to 1. And using this fact we will find the probability of losing the game.

Complete step-by-step answer:

Let’s start solving this question.
In this question we have given the information about the game. In a game there are only two possibilities one can win the game or either lose it.
Let the probability of winning is ${{p}_{1}}$ which is given in the question as 0.3,
Hence, ${{p}_{1}}=0.3............(1)$
Let the probability of losing the game is ${{p}_{2}}$
Now this is the only possible case and we know the fact that the sum of all the possible probability must be equal to 1, hence from this we get,
${{p}_{1}}+{{p}_{2}}=1$
Now substituting the value from (1) we get,
$\begin{align}
  & 0.3+{{p}_{2}}=1 \\
 & {{p}_{2}}=1-0.3=0.7 \\
\end{align}$
Hence, the probability of losing the game is 0.7

Note: Students might get confused that there is also a possibility that the game is drawn, as the information or probability that the game can draw is not given so we should take that possibility into consideration. But if it was given then again the sum of all the probabilities must be equal to 1, and from that we will find the value that has been asked.