A bag contains 6 blue marbles, 4 red marbles, and 2 yellow marbles. What is the probability of selecting a blue marble, replacing it, then selecting another blue marble?

Respuesta :

i think there is a .5 percent chance i added all numbers and divided by 6[the blue marbles]

Probabilities are used to determine the chances of an event.

The probability of selecting 2 blue marbles (with replacement) is 1/4

The given parameters are:

[tex]\mathbf{Blue = 6}\\\\[/tex]

[tex]\mathbf{Red = 4}[/tex]

[tex]\mathbf{Yellow = 2}[/tex]

The total number of marbles is:

[tex]\mathbf{n =Blue + Red + Yellow }[/tex]

[tex]\mathbf{n =6 + 4 + 2}[/tex]

[tex]\mathbf{n =12}[/tex]

The probability of selecting 2 blue marbles (with replacement) is:

[tex]\mathbf{Pr = \frac{Blue}{n} \times \frac{Blue}{n}}[/tex]

[tex]\mathbf{Pr = \frac{6}{12} \times \frac{6}{12}}[/tex]

Simplify

[tex]\mathbf{Pr = \frac{1}{2} \times \frac{1}{2}}[/tex]

Multiply

[tex]\mathbf{Pr = \frac{1}{4}}[/tex]

Hence, the probability of selecting 2 blue marbles (with replacement) is 1/4

Read more about probabilities at:

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