help please and the rest are other colors if you pick 7 eggs out of 24 eggs in B
ID: 3366625 • Letter: H
Question
help please
and the rest are other colors if you pick 7 eggs out of 24 eggs in Basket (S) 8. Suppose I have 5 yellow marbles and 3 red marbles in a bag. Show your work for each computation? A. What is the probability of choosing 2 red marbles with replacement? B. What is the probability of choosing 2 yellow marbles without replacement? C. Which is more likely to choose 2 red marbles with replacement or 2 yellow marbles without replacement? D. Is it possible to choose 4 red marbles without replacement? Why or why not? What is the probability of choosing 4 red marbles without replacement? E. Is it possible to choose 4 yellow marbles without replacement? Why or why not? What is the probability of choosing 4 yellow marbles without replacement?Explanation / Answer
Solution:
We have 5 Yellow nad 3 Red Marbles:
Solution(A):
Probability of choosing 2 red marbles with replacement = (3C1 *3C1)/(8C1*8C1) = (3*3)/(8*8) = 9/64 = 0.140625 or 14.0625%
Solution(B):
Probability of Choosing 2 Yellow Marbles without replacement = (5C1 * 4C1)/(8C1*7C1) = 20/56 = 0.357143 or 35.7143%
Solution(C)
From the part A and B we can see that choosing 2 yellow marbles without replacement is more likely than the choosing 2 red marbles with replacement.
Solution(d):
It is not possible to choose 4 red marbles without replacement becuase we have only 3 red marbles so this is not possible to choose 4 red marbles without replacement. So the probability of choosing 4 red marbles without replacement is 0.
Solution(E)
Yes it is possible to choose 4 yellow marbles without replacement because we have 5 red marbles so we can choose. Probability of choosing 4 yellow marbles without replacement = (5C1*4C1*3C1*2C1)/(8C1*7C1*6C1*5C1) = (5*4*3*2)/(8*7*6*5) = 120/1680 = 0.071429 or 7.1429%
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