Answer:
2/3
Step-by-step explanation:
Probability of choosing an eclair = 1/15
This means that there is 1 eclair in every 15 sweets.
As there are 3 eclairs, there are 3 x 15 = 45 sweets in total.
Now we can write an expression for the total number of sweets and solve for x:
Total number of sweets = 3 + (2x + 6) + x = 45
⇒ 3x + 9 = 45
⇒ 3x = 45 - 9
⇒ 3x = 36
⇒ x = 36 ÷ 3
⇒ x = 12
Now we have found x, we can determine the number of humbugs in the jar by substituting x = 12 into 2x + 6:
(2 x 12) + 6 = 30
So the probability the sweet is a humbug is 30 / 45 = 2/3
