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40)
In an after school program, students must choose to either play on the playground or read a book silently. On one cloudy day,
70% of the students chose to play on the playground, and the rest chose read a book silently. 60% of the students who went to the
playground are boys, and 20% who stayed inside to read a book are boys. If a student is randomly selected on this day, what is the
probability that the student is a girl?

Respuesta :

Answer:

0.52

Step-by-step explanation:

70% of the students  chose to play on the play ground are boys.

60% of them are boys. So , logically 40% are girls.

40% of 60% is : [tex]\frac{7}{10}[/tex] * [tex]\frac{4}{10}[/tex] = [tex]\frac{28}{100}[/tex]

30% of the students stayed inside,

80% of them are girls .

80% of 30% is : [tex]\frac{8}{10} * \frac{3}{10} = \frac{24}{100}[/tex]

So 28%+ 24% = 52 %

There is a 0.52 probability that the student is a girl

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