Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given:
Number of eclairs = 3
Number of humbugs = [tex]2x + 6=2(x+3)[/tex]
Number of mints = [tex]x[/tex]
Therefore, total number of sweets in the jar is,
[tex]S=3+2x+6+x=3x+9=3(x+3)[/tex]
Now, probability of selecting a sweet to be humbug is given as:
[tex]P(humbug)=\frac{\textrm{number of humbugs}}{\textrm{number of sweets}}\\P(humbug)=\frac{2(x+3)}{3(x+3)}=\frac{2}{3}[/tex]
Therefore, the probability that it is a humbug is [tex]\frac{2}{3}[/tex].
