Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Probability (P) is calculated as
P = [tex]\frac{number}{count}[/tex]
Since P(eclair) = [tex]\frac{1}{15}[/tex] and there are 3 eclairs, then original probability before simplification must have been
[tex]\frac{3}{45}[/tex]
meaning the total number of sweets is 45, so
3 + 2x + 6 + x = 45
3x + 9 = 45 ( subtract 9 from both sides )
3x = 36 ( divide both sides by 3 )
x = 12
Then number of humbugs = 2x + 6 = 2(12) + 6 = 24 + 6 = 30
P(humbug) = [tex]\frac{30}{45}[/tex] = [tex]\frac{2}{3}[/tex]
