Please Help! A bag contains four green marbles and five yellow marbles. You randomly select three marbles. What is the probability that all three marbles are green when (a) you replace each marble before selecting the next marble, and (b) you do not replace each marble before selecting the next marble? Write each probability as a decimal rounded to the nearest thousandth. Then compare the probabilities.
Answers
Answer:
A. 0.088
B. 0.048
C. 1.83 times
Step-by-step explanation:
From the question given above, the following data were obtained:
Green (G) = 4
Yellow (Y) = 5
Total = 4 + 5 = 9
A. Determination of the probability of selecting three green marbles with replacement.
Green (G) = 4
Yellow (Y) = 5
Total = 9
P(1st G) = 4/9
P(2nd G) = 4/9
P(3rd G) = 4/9
P(all G) = P(1st G) × P(2nd G) × P(3rd G)
P(all G) = 4/9 × 4/9 × 4/9
P(all G) = 64/729
P(all G) = 0.088
B. Determination of the probability of selecting three green marbles without replacement.
Green (G) = 4
Yellow (Y) = 5
Total = 9
P(1st G) = 4/9
P(2nd G) = 3/8
P(3rd G) = 2/7
P(all G) = P(1st G) × P(2nd G) × P(3rd G)
P(all G) = 4/9 × 3/8 × 2/7
P(all G) = 24/504
P(all G) = 0.048
C. Comparing probability of replacement and without replacement.
P(all G with replacement) = A = 0.088
P(all G without replacement) = B = 0.048
A/B = 0.088/0.048
A/B = 1.83
Cross multiply
A = 1.83 × B
Thus,
P(all G with replacement) = 1.83 × P(all G without replacement)
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Can I have Brainliest?
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Answer:
Step-by-step explanation:
The regular pentagonal pyramid has a base that is a regular pentagon and lateral faces that are equilateral triangles.
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answered by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!
HOPE THIS HELPED!!!
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
We know that:
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1. (-3.5.5)
2. (-1,-2)
3. (0,4)
4. (5,-8)
5. (6, 3/2)
Answers
Answer:
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Step-by-step explanation:
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2. What is the probability Lin chooses the letter E from the word CLARINET?
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Answers
Answer:
20% & 12.5%
Step-by-step explanation:
1. 1/5 = 0.2 or 20%
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Please mark brainliest
Please mark brainliest
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Step-by-step explanation:
You already chose the answer lol
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The lowest common denominator is 120.
Convert 3/4: 90/120
Convert 4/5: 96/120
Convert 5/6: 100/120
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Answer:1,706
Step-by-step explanation:
Add
Answer:
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Step-by-step explanation:
58059kg is the answer
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
it could be any combination of numbers there isn't an exact number but i put a number as an example....
Step-by-step explanation:
5.2516543245678765435678...
One of the irrational number between 5.25 and 5.26 is 5.252266789065.....
What are irrational numbers?Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.
The given decimal numbers are 5.25 and 5.26.
As we know, irrational numbers are non-terminating and non-recurring.
Then the irrational numbers between 5.25 and 5.26 are
5.252266789065....., 5.25365784826789...., 5.2579882645...... and so on.
Therefore, one of the irrational number between 5.25 and 5.26 is 5.252266789065.....
To learn more about the irrational numbers visit:
https://brainly.com/question/4031928.
#SPJ2
A. 34
B. 55
C. 65
D. 145