Answer:
[tex]\sf \dfrac{203}{4108}[/tex]
As a decimal = 0.05 (nearest hundredth)
Step-by-step explanation:
[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]
First pick:
[tex]\sf \implies P(pink)=\dfrac{30}{80}[/tex]
As the case is NOT replaced, second pick:
[tex]\sf \implies P(pink)=\dfrac{30-1}{80-1}=\dfrac{29}{79}[/tex]
As the case is NOT replaced, third pick:
[tex]\sf \implies P(pink)=\dfrac{29-1}{79-1}=\dfrac{28}{78}[/tex]
Therefore,
[tex]\sf \implies P(pink \ and \ pink \ and \ pink)=\dfrac{30}{80} \times \dfrac{29}{79} \times \dfrac{28}{78}=\dfrac{203}{4108}[/tex]
Answer as a decimal = 0.05 (nearest hundredth)
