Find $P ( \bar { B } )$ if $P ( B ) = 0.05$ .
A) $P ( \bar { B } ) = 9.5$
B) $P( \bar { B } ) = \frac { 5 } { 100 }$
C) $P ( \bar { B } ) = 0.95$
D) $P ( \bar { B } ) = 0.5$
E) $P ( \bar { B } ) = - 0.05$

Question

Quizplus · Accepted Answer

The complement of an event is the probability that it does not occur. In this case, the complement of event B is that B does not occur, which can be written as $\bar{B}$. The formula for finding the probability of the complement of an event is:

$$P(\bar{B}) = 1 - P(B)$$

Using the given information, we can substitute $P(B) = 0.05$ into the formula above:

$$P(\bar{B}) = 1 - P(B) = 1 - 0.05 = 0.95$$

Therefore, the probability of the complement of event B is 0.95 or choice C.

Find P(Bˉ)P ( \bar { B } )P(Bˉ) If P(B)=0.05P ( B ) = 0.05P(B)=0.05

Find $P ( \bar { B } )$ If $P ( B ) = 0.05$