Question

If the probability of winning a game is $0.3$, then what is the probability of losing it?

Answer 1

Determine the losing probability:

Let, $P\left(A\right)$ be the probability of winning a game and $P\left(B\right)$ be the probability of losing the game.

It is given that the probability of winning a game $P\left(A\right)=0.3$

Since the total probability is equal to 1.

$\begin{array}{rcl}\therefore P\left(A\right)+P\left(B\right)& =& 1\\ & \Rightarrow & 0.3+P\left(B\right)=1\\ & \Rightarrow & P\left(B\right)=1–0.3\\ & \Rightarrow & P\left(B\right)=0.7\end{array}$

which is the probability of losing the game.

Hence, the probability of losing the game is $0.7$.