In a box of 5 eggs, 2 are rotten. What is the probability that two egg

Question

In a box of 5 eggs, 2 are rotten. What is the probability that two eggs chosen at random from the box are rotten?

(A) 1/16
(B) 1/10
(C) 1/5
(D) 2/5
(E) 3/5

kesanmanish · Answer

D ! It is as simple as selecting two out of 5

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Kinshook · Answer

# of favorable ways =  ^2C_2 =1 
# of total ways =  ^5C_2 =10

Probability that two eggs chosen at random from the box are rotten = 1/10

IMO B

Archit3110 · Answer

P of picking a rotten egg ; 2/5 * 1/4 ; 1/10
IMO B

lacktutor · Answer

Here, the rotten egg which picked randomly is not placed—> therefore, 
(2/5)*(1/4)=2/20=1/10

The answer choice is B.

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amarsinha · Answer

Total no of ways of selecting 2 eggs from 5 eggs is 5C2 which is 10. Out of these 10 combinations , only one will have both rotten eggs. So the probability of taking 2 rotten eggs will be 1/10.

Other way:

There are 5 eggs in total and 2 are rotten.

Probability that the first egg picked is rotten is 2/5

After picking the first egg, no. of eggs remaining is 4. and no. of rotten egg is 1.

Probability that the second egg picked is rotten is 1/4.

So the probability that both eggs are rotten 
= 2/5 * 1/4
= 1/10

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TheNightKing · Answer

Probability of Getting 1st one as rotten is 2/5 and then for second one is 1/4. Multiply the two and you get 1/10

EgmatQuantExpert · Answer

Solution 
  Given:  
 • In a box of 5 eggs, 2 are rotten

To find:  
 • The probability that two eggs chosen at random from the box are rotten

Approach and Working Out:   
 • The probability that two eggs chosen at random from the box are rotten =  \frac{^2C_2}{^5C_2} = \frac{1}{10}

Answer: B

https://e-gmat.com/blogs/wp-content/uploads/2018/08/Ability-Quiz-AT-e1533292152363.png

ScottTargetTestPrep · Answer

P(two rotten eggs) = 2/5 x 1/4 = 2/20 = 1/10.

Answer: B

bumpbot · Answer

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In a box of 5 eggs, 2 are rotten. What is the probability that two egg

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In a box of 5 eggs, 2 are rotten. What is the probability that two egg

Prep Toolkit

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