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nevsk [136]
3 years ago
13

A fair spinner has 11 equal sections: 3 red, 4 blue and 4 green. It is spun twice. What is the probability of getting the same c

olour twice?
Mathematics
1 answer:
Aliun [14]3 years ago
4 0

Answer:

The probability of getting the same colour twice is approximately 34%.

Step-by-step explanation:

The probability of getting each color is:

  • P(x=red) = 3/11
  • P(x=blue) = 4/11
  • P(x=green) = 4/11

Then, we can calculate the probability of getting the color red twice as:

P(x_1=R;x_2=R)=P(x=R)^2=(3/11)^2=9/121

We have to repeat this for the color blue and green:

P(x_1=B;x_2=B)=P(x=B)^2=(4/11)^2=16/121\\\\P(x_1=G;x_2=G)=P(x=G)^2=(4/11)^2=16/121

Then, the probability of getting the same color twice in two spins can be calculated as:

P=P(x_1=R;x_2=R)+P(x_1=B;x_2=B)+P(x_1=G;x_2=G)=\\\\P=9/121+16/121+16/121\\\\P=41/121\approx0.34

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DENIUS [597]

Hi There!

Remember to follow PEMDAS!

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Hope This Helps :)

8 0
3 years ago
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4 0
4 years ago
The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas
olga_2 [115]

Answer:

The population would be 781.

The population is growing with the rate of 12.50 persons/yr.

Step-by-step explanation:

Since, the formula for calculating the population, increasing with a rate per period,

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Where, P is the initial population,

r is the rate per period,

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Here, P = 500, r = 25 % = 0.25, n = 2 ( the number of '10 year period' of in 20 years is 2 )

Hence, the population in 20 years would be,

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