A committee of 4 people is randomly selected from a group of 5 Republicans and 6 Democrats. What is the probability that the committee will be only Democrats?

A) 2/165 B) 1/66 C) 1/22 D) 4/11

Question

A committee of 4 people is randomly selected from a group of 5 Republicans and 6 Democrats. What is the probability that the committee will be only Democrats?

A) 2/165    B) 1/66    C) 1/22    D) 4/11

anonymous · Answer

Total no. of ways of selecting committee of 4 people is 6C4 + (6C3)*(5C1) + (6C2)*5C2) + ............

But u got to choose only democrats so P= 6C4/total no. of ways

raden · Answer

to get total no. of ways, u can take 11C4

anonymous · Answer

How would I solve it? I have problems with that

anonymous · Answer

oh ya @RadEn  i am wrong there total no. of ways are 11C4

anonymous · Answer

Sorry

anonymous · Answer

You got to just apply the formula of P=No. of favourable outcomes/total no. of outcomes

anonymous · Answer

That makes no sense

anonymous · Answer

y?

anonymous · Answer

Because I dont understand what your saying and how to solve it

anonymous · Answer

Ok tell me wt idea do u hv about this ques

anonymous · Answer

Can you please just show me how to do it?

anonymous · Answer

see u want only democrats in the committee..............so ways of selecting only democrats is 6C4..........Total ways of selecting the committee is 11C4 (11=5+6)

anonymous · Answer

R u trying to solve????

anonymous · Answer

Yeah

anonymous · Answer

Did u succeed???

anonymous · Answer

I got 7920/24......

anonymous · Answer

how can u get that?????

U just hv to do 6C4/11C4

anonymous · Answer

I DONT UNDERSTAND HOW TO DO THAT. can you please just solve it for me

anonymous · Answer

look i was just warned by a mod for giving out the answer directly for a ques. So plzz try an understand n do it by ur self