SOLUTION: Stuck on this one! I select a number from the 12 numbers 1 through 12. Each number is equally likely to be chosen. Let A be the event: I chose an even number. Let B be the even

Algebra ->  Probability-and-statistics -> SOLUTION: Stuck on this one! I select a number from the 12 numbers 1 through 12. Each number is equally likely to be chosen. Let A be the event: I chose an even number. Let B be the even      Log On


   

Question 424134: Stuck on this one!
I select a number from the 12 numbers 1 through 12. Each number is equally likely to be chosen. Let A be the event: I chose an even number. Let B be the event: I chose a number less than or equal to 5.
Find each based on one selection from the 12 numbers.
a) P(A occurred or B occurred)
b) P(A occurred and B occurred)
c) P(A occurred given that B occurred

I think c is P(A|B)=2/5 but not sure the rest.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi



I select a number from the 12 numbers 1 through 12. Each number is equally likely to be chosen.

Let A be the event: I chose an even number: 6 even numbers from 1 to 12

 Let B be the event: I chose a number less than or equal to 5. {5,4,3,2,1} 

a) P(A occurred or B occurred)= 6/12 + 5/12 - 2/12 = 9/12

b) P(A occurred and B occurred)= 2/12

c) P(A occurred given that B occurred) = 2/5