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125 freshman, 85 passed the english test, 95 passed statistics test, 15 failed both what is the probability that they passed both

Respuesta :

frika

Answer:

0.56

Step-by-step explanation:

125 in total.

Let x be the number of those who passed both tests.

  • 85 passed English, then 85-x passed only English;
  • 95 passed statistics, then 95-x passed only statistics;
  • 15 failed both.

Thus,

x+(85-x)+(95-x)+15=125,

195-x=125,

x=70.

Thus, the probability that they passed both tests is

[tex]Pr=\dfrac{70}{125}=\dfrac{14}{25}=0.56.[/tex]

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