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Doss [256]
2 years ago
10

There is a bag filled with 6 blue and 5 red marbles.

Mathematics
2 answers:
laiz [17]2 years ago
3 0

Answer:

25/121

Step-by-step explanation:

This is called sampling with replacement.

The probability of getting a red marble in one sample is 5/11. Since you are sampling twice, the probability of picking a red marble both times is 5/11 X 5/11 = 25/121. That is slightly less than ⅕.

Nuetrik [128]2 years ago
3 0

Answer:  61/121

=============================================

Work Shown:

B = event of getting a blue marble

R = event of getting a red marble

P(B) = (6 blue)/(6+5 total) = 6/11

P(R) = (5 red)/(11 total) = 5/11

P(2 blue) = P(B)*P(B) = (6/11)*(6/11) = 36/121

P(2 red) = P(R)*P(R) = (5/11)*(5/11) = 25/121

---------

P(2 same color) = P(2 blue OR  2 red)

P(2 same color) = P(2 blue) + P(2 red)

P(2 same color) = 36/121 + 25/121

P(2 same color) = (36+25)/121

P(2 same color) = 61/121

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\begin{aligned}\frac{4x}{4}&=\frac{72}{4}\\x&=\boxed{18}\end{aligned}

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<h3>Double-checking</h3>

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