Question
11. A jar has one red, one green, one yellow and one blue marble, You pick one marble, keep it, and pick another marble until all four marbles are chosen. What is the probability you pick the marbles red, green, yellow and blue in that order?
Ask by Weber Herrera.
Nov 30,2024 21:46
UpStudy AI Solution
Tutor-Verified Answer
Answer
The probability of picking the marbles in the order red, green, yellow, and blue is \( \frac{1}{24} \).
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Bonus Knowledge
To calculate the probability of picking the marbles in the exact order of red, green, yellow, and blue, we need to recognize that each marble has one chance in four for the first pick, one chance in three for the second, one chance in two for the third, and only one choice left for the last. So, the probability is calculated as follows:
P(red) = 1/4,
P(green) = 1/3,
P(yellow) = 1/2,
P(blue) = 1/1.
Multiplying these probabilities together gives:
P = (1/4) * (1/3) * (1/2) * (1/1) = 1/24.
Thus, the probability of picking the marbles in the exact order of red, green, yellow, and blue is 1/24.
To spice it up further, you can imagine that this is like a tiny game of luck and memory, where each pick counts! In a treasure hunt of colors, every time you dip your hand into that jar, the suspense builds—will the next one be the perfect match, or will it be a twist in the color tale?
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