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Two chocolates need to be picked from a box with replacement. if all the chocolates in the box are wrapped in either

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Two chocolates need to be picked from a box with replacement. if all the chocolates in the box are wrapped in either

by M7MBA » Wed Sep 09, 2020 1:42 am

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Two chocolates need to be picked from a box with replacement. if all the chocolates in the box are wrapped in either green or blue wrapper. Then what's the probability that we get one chocolate of each color.

A. The probability of getting chocolates of the same color is 5/9.
B. The no of chocolates with a blue wrapper is twice the number of chocolates with a green wrapper.

Answer: D

Source: e-GMAT
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Source: — Data Sufficiency |
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Re: Two chocolates need to be picked from a box with replacement. if all the chocolates in the box are wrapped in either

by deloitte247 » Sun Sep 13, 2020 6:36 am

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Target question => What's the probability that we get one chocolate of each color


Statement 1 => The probability of getting chocolates of the same color is 5/9
Probability of getting chocolate of each color + probability of getting chocolate of the same color = 1
Probability of getting chocolate of each color = 1 - the probability of getting chocolate of the same color
Probability of getting chocolate of each color = 1-5/9
= 1/1 - 5/9 = 9 - 5/9 = 4/9
Statement 1 is SUFFICIENT


Statement 2 => The number of chocolates with a blue wrapper is twice the number of chocolates with a golden wrapper
Let the number of blue wrapper = b and golden wrapper = g
b = 2g
total = b + g where b = 2g; total = 3g
The ratio of blue to green = 2:1
Probability of getting one chocolate for each color = 2C1 * 1/3 * 2/3
= 2 * 2/9 = 4/9
Statement 2 is SUFFICIENT


Since each statement alone ARE SUFFICIENT,
Answer = D
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