Answer:
Probability of not having homework tonight is [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given that the probability of having homework tonight is [tex]\frac{1}{6}[/tex]. we have to find the probability of not having homework tonight.
As total probability is 1 i.e
P(occurring an event)+P(not occurring an event)=1
⇒ P(having homework tonight)+P(not having homework tonight)=1
⇒ [tex]\frac{1}{6}[/tex]+P(not having homework tonight)=1
⇒ P(not having homework tonight)= [tex]1-\frac{1}{6}=\frac{5}{6}[/tex]
Hence, Probability of not having homework tonight is [tex]\frac{5}{6}[/tex]
