Respuesta :
Answer:
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Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space. Â
The size of the sample space is the total number of possible outcomes Â
The event space is the number of outcomes in the event you are interested in. Â
so Â
Let
x------> size of the event space
y-----> size of the sample space Â
so
[tex]P=\frac{x}{y}[/tex]
In this problem we have
Part 1) Find the probability of choosing a green marble
we have
[tex]x=1[/tex] ---> number of green marbles
[tex]y=1+1+1+1=4[/tex] Â ----> total marbles in the bag
substitute
[tex]P=\frac{1}{4}[/tex]
Part 2) Find the probability of choosing a red marble
we have
[tex]x=1[/tex] ---> number of red marbles
[tex]y=3[/tex] Â ----> total marbles in the bag
substitute
[tex]P=\frac{1}{3}[/tex]
Part 3) Find the probability of choosing a green marble, not replacing it, and then choosing a red marble
Multiply both probabilities
[tex]P=\frac{1}{4}\frac{1}{3}=\frac{1}{12}[/tex]
therefore
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