The probability of not opening the door for the first time is 1/2, and that of opening the door for the second time is 2/3.
1/2*2/3= 1/3
The probability of the second door opening is 1/3.
If you don't throw away the key you tried for the first time,
The probability of not opening the door for the first time is 1/2.
The probability of opening the door for the second time is 1/2
1/2* 1/2= 1/34
The probability of opening the door for the second time is 1/4.
I understand that after I can't open it for the first time, before I open the door for the second time, the four keys should be mixed together, instead of excluding the first key.
(2)
There are C5(3) = 10 ways for three people to be hired.
There are C4(2)=6 ways to get a position for girl K.
The probability of girl K getting the position is: 60%.
There are C5(3) = 10 ways for three people to be hired.
There are three ways for girls K and S to get jobs: C3( 1)=3.
The probability that girls K and S get jobs respectively is: 30%.
There are C5(3) = 10 ways for three people to be hired.
There are C4(2)=6 ways to get a position for girl K.
There are C4(2)=6 ways to get a position for girl S.
There are three ways for girls K and S to get jobs: C3( 1)=3.
The probability that a girl K or S gets the position is: (6+6-3)/ 10=90%.