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hammer [34]
2 years ago
6

A bag contains exactly three red marbles, five yellow marbles and two blue marbles. If three marbles are drawn from the bag with

out replacement, what is the probability that all three will be the same color? Express your answer as a common fraction
Mathematics
1 answer:
Studentka2010 [4]2 years ago
3 0

Answer:

  • 11/120

Step-by-step explanation:

  • Red = 3
  • Yellow = 5
  • Blue = 2

Possible options would be red or yellow as only two blue marbles.

<u>Probability of 3 red:</u>

  • 3/10*2/9*1/8 = 1/120

<u>Probability of 3 yellow:</u>

  • 5/10*4/9*3/8 = 1/12

<u>Probability of same three is:</u>

  • 1/120 + 1/12 = 11/120
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Check the picture below.

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bearhunter [10]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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grin007 [14]
What this setup essentially represents is “How many 8s can we take away from 32 before hitting 0?” Which in turn can be reframed as “How many 8s fit into 32?” This can be captured in the expression 32 / 8. As we can see from the problem, we can take away 4 8’s before hitting 0, so that gives us the equation 32 / 8 = 4
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3 years ago
A recently admitted class of graduate students at a large state university has a mean GRE verbal score of 650 with a standard de
hjlf

Answer:

The answer is below

Step-by-step explanation:

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:

z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }

Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:

z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{490-650}{50/\sqrt{5} } =-7.16

From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%

Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism

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