A bag contains 10 white, 12 blue, 13 red, 7 yellow, and 8 green wooded balls. A ball is selected from the bag, its color noted, then replaced. You then draw a second ball, note its color and then replace the ball. What is the probability of selecting 2 red balls? Round to the nearest ten-thousandth.

Respuesta :

Answer:

.0676

Step-by-step explanation:

Both events are independent b/c of the ball replacement; therefore, you simply take the probability of choosing 1 red ball & square (x^2) it (or multiply it by itself.) (13/50)^2=169/2500=.0676

The probability of selecting 2 red balls when the ball is replaced each time [tex]0.0676[/tex].

Number of white balls [tex]= 10[/tex].

Number of blue balls [tex]= 12[/tex].

Number of red balls [tex]= 13[/tex].

Number of yellow balls [tex]= 7[/tex].

Number of green balls [tex]= 8[/tex].

So, total balls [tex]= 10+12+13+7+8=50[/tex].

Since, the ball is replaced each time. So, the probability is [tex]\frac{13}{50}[/tex] every time.

For 2 red balls, probability [tex]= \frac{13}{50} \times \frac{13}{50}[/tex]

[tex]= \frac{169}{2500}[/tex]

[tex]=0.0676[/tex]

So, the probability of selecting 2 red balls is [tex]\frac{169}{2500}=0.0676[/tex].

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