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Question

Question: If the probability of winning a game is 0.7, what is the probability of losing it?...

If the probability of winning a game is 0.7, what is the probability of losing it?

Explanation

Solution

In this question it is given that the probability of winning a game is 0.7. Now if we take E as an event then we can say P probability of winning the event is 0.7. So P=0.7. Now the probability of losing the game will be Q. and we know P+Q = 1. So with the help of this equation we’ll solve the problem. We’ll substitute the value of P and will find the value of Q. Q is the probability of losing the game. So Q’s value will be the answer.

Complete step-by-step solution:
We know the sum of probability of an event happening and not happening is 1.
Here happening an event or winning the game is P.
It is given that P=0.7P = 0.7
And not happening an event or losing an event is Q
Now we need to find the probability of losing the game
So we can write P+Q=1P + Q = 1
0.7+Q=1 Q=10.7 =0.30.7 + Q = 1 \\\ \Rightarrow Q = 1 - 0.7 \\\ \Rightarrow = 0.3
So the probability of losing the game is 0.3.

Note: Whenever you get a question of happening an event and not happening an event always take the probability of both the case and make the sum as 1. Because the event of winning a game and losing a game is always 1. Now just put the value and calculate the result. This way you’ll get the answer.