Question

$\left(a\right)$ The probability that it will rain tomorrow is $0.85$. What is the probability that it will not rain tomorrow?
$\left(b\right)$ If the probability of winning a game is $0.6$, what is the probability of losing it?

• A. $\left(a\right)0.17\left(b\right)0.3$
• B. $\left(a\right)0.15\left(b\right)0.4$
  
• C. $\left(a\right)0.13\left(b\right)0.5$
• D. $\left(a\right)0.11\left(b\right)0.6$

Answer 1

The correct option is B $\left(a\right)0.15\left(b\right)0.4$

(a) The probability it will rain tomorrow $P\left(A\right)=0.85$
then the probability it will not rain tomorrow $P\left(A^{\prime }\right)$
$P\left(A^{\prime }\right)=1-P\left(A\right)$
$P\left(A^{\prime }\right)=1-0.85$
$P\left(A^{\prime }\right)=0.15$
(b) The probability of winning the game $P\left(A\right)=0.6$
then the probability it will losing the game $P\left(A^{\prime }\right)$
$P\left(A^{\prime }\right)=1-P\left(A\right)$
$P\left(A^{\prime }\right)=1-0.6$
$P\left(A^{\prime }\right)=0.4$