Dependent Compound Events

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?

• Independent
• Dependent

Is the event INDEPENDENT or DEPENDENT?
Amy plays card games.  She picks a card at random.  Then without putting the first card back, he picks a second card at random.

• Independent
• Dependent

Which compound event if composed of dependent events?

• Selecting a candy bar from a bag eating the candy bar and selecting again
• Selecting a candy bar from a bag, deciding you don't want it, replace the candy bar and select again.

There are 3 red, 1 blue, and 2 yellow marbles in a bag. Once a marble is selected, it is not replaced. Find P(red and then yellow)

• 6/30 = 1/5

• 3/30 = 1/10

• 2/30 = 1/15

• 1.5/30 = 1/20

here are 3 red, 1 blue, and 2 yellow marbles in a bag. Once a marble is selected, it is not replaced. Find P(three red marbles)

• 24/120 = 1/5

• 12/120 = 1/10

• 8/120 = 1/15

• 6/120 = 1/20

Two socks are drawn from a drawer which contains one red sock, three blue socks, two black socks, and two green socks. Once a sock is selected, it is not replaced. Find P(a black sock and then a green sock)

• 14/56 = 1/4

• 4/64 = 1/16

• 2/32 = 1/2

• 4/56 = 1/14

When an item is not replaced, or choosing effects what you can pick next is known as...

• independent
• dependent

You have pieces of paper with the letters A, B, C, D, and E written on them. Once you choose one, it is not replaced. Find the probability of choosing an A and then a B.

• 1/20
• 2/5