there are three types of sweet in a jar and the table gives some information about them . A sweet is chosen out random . The probability it is an eclair is 1/15
Answers
Question - There are 3 types of sweets in a jar.
(Look at attached for table).
A sweet is chosen at random.
The probability that it is an Eclair is 1/15
Work out the probability that it is a humbug.
Given - Number of different sweets - eclair - 3, hambug - 2x+6 and mint - X.
Probability of eclair - 1/15
Find - Probability of sweet being hambug.
Solution - Probability is calculated by the formula - Number of outcome/Total number of outcomes.
Total number of sweet - 3 + 2x+6 + X = 3x+9.
Probability of sweet being eclair will be 3/3x+9. As per question, probability of sweet being eclair is 1/15.
So, 3/3x+9 = 1/15
45 = 3x+9
3x = 36
X = 12
So, number of mint is - 12.
Number of hambug - 2x+6 = 2*12+6 = 30.
Total number of sweets - 3x+9 = 3*12+9 = 45
Now, calculating probability of hambug - 30/45
Probability of sweet being hambug - 2/3.
Thus, probability of sweet being hambug is - 2/3.
