Question

NEED ASAP THANKS EXPLANATION WOULD BE APRECIATED

Answer 1

ANSWER: Humbug probability is 2/3
Step by step:

Since eclair’s probability is 1/15 and there’s 3 of them, I multiplied 3 by 15 to get 45. That means that there’s 45 sweets total in the jar.
Then, I wrote an equation.
3 + 2x + 6 + x = 45
After you combine like terms, you should get 3x = 36. Divide both sides by 3 to get 12, so x = 12.

Since humbug is 2x + 6, you multiply 2 by 12 and add 6, which is 30. There’s 45 total, so it would be 30/45. You can simplify it by dividing both the numerator and denominator by 15 to get 2/3

Answer 2

The probability of choosing a humbug from the jar is 2/3.

To find the probability that a sweet chosen at random from the jar is a humbug, we need to divide the number of humbugs by the total number of sweets.

From the table, we can see that there are 2x + 6 humbugs and 3x + 9 sweets in total. Therefore, the probability of choosing a humbug is:

Probability of humbug = (Number of humbugs) / (Total number of sweets)

= (2x + 6) / (3x + 9)

We are given that the probability of choosing an eclair is 15. This means that the following equation is true:

(Number of eclairs) / (Total number of sweets) = 15

Substituting the values from the table, we get:

3 / (3x + 9) = 15

Solving for x, we get:

x = 12

Substituting this value of x back into the equation for the probability of choosing a humbug, we get:

Probability of humbug = (2 * 12 + 6) / (3 * 12 + 9)

= 30 / 45

= 2 / 3