Betty has a bag with 20 marbles in it. Some of the marbles are blue, some are green, and some are yellow.

She draws one marble at random, records the color, and returns it to the bag.

Here is her data after 500 trials:

Blue Green Yellow

392 52 56

Estimate the probability that a marble drawn at random will be blue.
Estimate the probability that a marble drawn at random will be green.
Estimate the probability that a marble drawn at random will be yellow.
Express each probability estimate as a fraction with 20 in the denominator.

392 / 500 double and take one decimal place to see percentage

52/500

56/500 e.g. 56*2 = 112 now take 1 decimal so it is 11.2%

now divide each by 20

Answer Link

windyyork windyyork · Answer 2 · 2019-08-19T06:14:45+02:00

Answer with Step-by-step explanation:

Since we have given that

Number of trials = 500

Number of yellow marbles = 56

Number of green marbles = 52

Number of blue marbles = 392

So, Probability that a marble drawn at random will be blue is given by

[tex]\dfrac{392}{500}[/tex]

So, Probability that a marble drawn at random will be green is given by

[tex]\dfrac{52}{500}[/tex]

So, Probability that a marble drawn at random will be yellow is given by

[tex]\dfrac{56}{500}[/tex]

Express each probability estimate as a fraction with 20 in the denominator.

1) Probability that a marble drawn at random will be blue is given by

[tex]\dfrac{392\div 25}{500\div 25}=\dfrac{15.68}{20}[/tex]

2) Probability that a marble drawn at random will be yellow is given by

[tex]\dfrac{56\div 25}{500\div 25}=\dfrac{2.24}{20}[/tex]

3) Probability that a marble drawn at random will be green is given by

[tex]\dfrac{52\div 25}{500\div 25}=\dfrac{2.08}{20}[/tex]