VyshakhR1995 wrote:
Six distinct pair of shoes are in a closet. If three shoes are selected at random from the closet,what is the probability that no two of the chosen shoes make a pair
A. 1/5
B. 2/11
C. 13/33
D. 8/11
E. 4/5
I use method 1 - opposite probability
Select 3 shoes with 2 are a pair:
Ways to select a pair: 6C1
Ways to select any shoe from 10 shoes: 10C1
Total ways to choose 3 shoes: 12C3
Probability: (6C1X10C1)/12C3 = 3/11
Probability of no pair of shoes in any three shoes: 1-(3/11)=8/11
Answer
...



.jpg)


