Balls

The urn is 8 white and 6 black balls. We pull 4 randomly balls. What is the probability that among them will be two white?

Correct result:

p =  0.4196

Solution:

C4(14)=(144)=14!4!(14−4)!=14⋅13⋅12⋅114⋅3⋅2⋅1=1001 C2(8)=(82)=8!2!(8−2)!=8⋅72⋅1=28  C2(6)=(62)=6!2!(6−2)!=6⋅52⋅1=15  p=(82)⋅ (62)(8+64)=28⋅ 15(8+64)=60143=0.4196

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