Independent and Dependent Events

Independent Events The first event does not affect the second. –There are 3 cubes in a bag: red, blue, and yellow –When you pick one cube you put it back in and pick the second –What is the P (red and blue)= 1/9 Event 1Event 2Outcomes YellowRedY, R Yellow Y, Y BlueY, B Red RedR, R Yellow R, Y Blue R, B Blue RedB,R Yellow B, Y BlueB, B

Dependent Events The first event does affect the second event –Same three blocks –Except this time, you do not put the first pick back into the bag –P (red and blue)=1/6 Event 1Event 2Outcomes YellowRedY,R BlueY,B RedYellowR,Y BlueR,B BlueYellowB,Y RedB,R

Try these You have a bag with 4 cubes: 2 orange and 2 blue –Total number of possible outcomes if you pick a cube at random and put it back then pick another cube? –16 outcomes –What is the P (Blue and Blue) –1/4 –If you don’t put the first cube back what’s the P( Blue and Blue) –1/6

You have a penny, nickel, dime, and quarter in you pocket P (penny then dime) if you pull out one coin at a time 1/12 P (Q two times) if you put the coin back in your pocket 1/16 P ($0.30) if you keep the first coin out 1/6