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ChHal1958
26.10.2020 •
Mathematics
Alex and Freddy collect stamps. The number of stamps in Alex’s collection to the number of stamps in Freddy’s collection is in the ratio of 3:5. How much more stamps does Freddy have if together they have 136 stamps?
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Ответ:
31.82% probability that you will receive 2 apples.
Step-by-step explanation:
The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
In this question:
5 + 7 = 12 total fruits, which means that![N = 12](/tpl/images/1360/4697/50a93.png)
7 apples, which means that![k = 7](/tpl/images/1360/4697/d6b6a.png)
You receive 2 fruits, which means that![n = 2](/tpl/images/1360/4697/9a34e.png)
What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?
This is, as a proportion, P(X = 2). So
0.3182*100% = 31.82%
31.82% probability that you will receive 2 apples.