Answer:
0.3891 = 38.91% probability that only one is a second
Step-by-step explanation:
For each globet, there are only two possible outcoes. Either they have cosmetic flaws, or they do not. The probability of a goblet having a cosmetic flaw is independent of other globets. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
17% of its goblets have cosmetic flaws and must be classified as "seconds."
This means that 
Among seven randomly selected goblets, how likely is it that only one is a second
This is P(X = 1) when n = 7. So
0.3891 = 38.91% probability that only one is a second
Answer:
There are 3 prime numbers shown on the die: 2, 3 and 5. The probability of showing a prime number on a single die is 1/2, hence the probability of not showing a prime number is also 1/2. Total possible outcomes when two dice are rolled = 6*6 = 36. Total possible outcomes when two dice are rolled = 6*6 = 36.
Answer:
x=105÷7
Step-by-step explanation:
You have to split the candy with 7 people and you can't split people
Answer: 100 boxes
Step-by-step explanation:
Hi, since 1 ton = 2,000 lbs
We have to divide 10lbs by 2000 to convert the lbs in tons.
1t/2000lb = xt / 10lb
10 /2000=0.005
0.005 ton = 10 lbs (1 bag)
Each box has 4 bags
0.005 ton x 4 = 0.02 ton
So each box weights 0.02 ton
Since we need 2 tons.
Using proportions:
0.02t/1 box= 2 t / x boxes
x = 2 / (0.02/1)
x = 100 boxes
Feel free to ask for more if needed or if you did not understand something.
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