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swaggsuperman713
01.02.2022 •
Mathematics
PLEASE HELP WITH THIS
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Ответ:
Answer and Step-by-step explanation: The problem can be solved by using a Venn Diagram.
A Venn Diagram shows the relation between a collection of different sets.
The figure below shows:
1) Students who went only to the Homecoming = 1110
2) Students who went only to the Prom = 570
3) Students who went to both = 360
4) Students who went to none = 60
The question asks for the probability of students who went to Prom or None.
Probability of Prom =![\frac{570}{2100}](/tpl/images/0848/2366/3f568.png)
Probability of None =![\frac{60}{2100}](/tpl/images/0848/2366/29cf2.png)
As it is asking for "OR", use the "or rule", i.e., add the probabilities:
P(Prom or None) =![\frac{570}{2100}+\frac{60}{2100}](/tpl/images/0848/2366/74aa2.png)
P(Prom or None) =![\frac{630}{2100}](/tpl/images/0848/2366/f02c1.png)
P(Prom of None) = 0.3
The probability of a student had went to Prom or none of them is 0.3 or 30%.