Question

The probability of a person winning a game is 0.8, the probability of him losing a game is $\frac{x}{10}$. The value of $x$ is ___.

• A. 2

Answer 1

The correct option is A

2

Given,

P (winning a game) = 0.8

Winning or losing a game are complementary events.

For complementary events, $P\left(A\right)$ + $P\left(\overline{A}\right)$ = 1 (where $P\left(A\right)$ and $P\left(\overline{A}\right)$ are complimentary events)
$\Rightarrow$ P(winning a game) + P(losing a game) = 1
$\Rightarrow$ P(losing a game) = 1 - P(winning a game) = 1 - 0.8
$\Rightarrow$ P(losing a game) = 0.2

$\Rightarrow$ $\frac{x}{10}$ = 0.2

$\Rightarrow$ $x$ = 2.

$\therefore$ Value of $x$ is 2