The probability that she picks a blue marble three times in a row is 1/125.
Given that
Samantha has a bag of 5 different colored marbles.
She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.
We have to determine
What is the probability that she picks a blue marble three times in a row?
According to the question
Samantha has a bag of 5 different colored marbles.
She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.
The probability of picking a bag one time is,
[tex]\rm = \dfrac{Number \ of \ bag \ pack \ at \ a \ time}{Total \ number \ of bag}\\\\= \dfrac{1}{5}[/tex]
The probability of picking a bag second time is,
[tex]\rm = \dfrac{Number \ of \ bag \ pack \ at \ a \ time}{Total \ number \ of bag}\\\\= \dfrac{1}{5}[/tex]
The probability of picking a bag third time is,
[tex]\rm = \dfrac{Number \ of \ bag \ pack \ at \ a \ time}{Total \ number \ of bag}\\\\= \dfrac{1}{5}[/tex]
Therefore,
The probability that she picks a blue marble three times in a row is,
[tex]= \dfrac{1}{5} \times \dfrac{1}{5} \times \dfrac{1}{5} \\\\=\dfrac{1}{125}[/tex]
Hence, the probability that she picks a blue marble three times in a row is 1/125.
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https://brainly.com/question/11441437
