### Home > MC2 > Chapter 11 > Lesson 11.2.4 > Problem11-71

11-71.

Find the probability of each event, based on the given information.

1. If P(getting clubs  $=\frac{1}{4}$, what is P(~getting clubs)?

These two outcomes are opposite of each other. That means that
both of these outcomes together must equal $1$, or $100\%$ probability.

What can you add to $\frac{1}{4}$ to get $1$?

2. If P(A) $= 0.4$, what is P(~A)?

See part (a).

$0.6$

3. If P(win) $= x\%$, what is P(~win)?

If there is a $20\%$ chance of winning, that means there is a
$100\% − 20\% = 80\%$ chance of not winning. Show this method using the variable $x$.

$\left(100 − x\right)\%$