Question

If the probability of winning a game is 0.4 then the probability of losing it, is ______.

Options

• 0.96

• `1/0.4`

• 0.6

• none of these

Answer 1

If the probability of winning a game is 0.4 then the probability of losing it, is 0.6.

Explanation:

Let E be the event of winning a game.

Then, (not E) is the event of not winning the game or of losing the game.

Then, P(E) = 0.4

Now, P(E) + ​P(not E) = 1

⇒ 0.4 + ​P(not E) = 1

​⇒​ P(not E) = 1 – 0.4 = 0.6

∴ P(losing the game) = ​P(not E) ​= 0.6