Independent and Dependent Probability Review

Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then a card with a number greater than or equal to five if the first card is replaced?

• 1/4

• 2/3

• 3/10

• 3/5

Given a standard deck of 52 playing cards, what is the probability of randomly drawing a 2 and then a 3 if the first card is not replaced?

• 1/13

• 4/663

• 1/676

• 1/169

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)

• 1/18

• 2/5

• 3/7

• 4/9

A bag contains 3 red marbles, 8 blue marbles, 7 yellow marbles and 2 orange marbles. One marble is selected, put back in the bag and a second marble is selected. Is the event Independent or Dependent?

• Independent

• Dependent

There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color? P(R,R)

• 2/5

• 1/21

• 5/35

• 1/7

In a standard deck of 52 cards, what is the probability of drawing one ace after another ace on two draws (no replacing)?

• 1/221

• 1/4

• 1/169

• 1/13

Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?

• 1/3

• 1/2

• 1/6

• 1/4

What is the probability of tossing a coin four times and getting tails each time?

• 1/16

• 1/8

• 1/2

• 1/4

A coin is tossed and a number cube is rolled. Find the probability,  P(heads and 7).

• 1/14

• 1/2

• 0

• 1/7

A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?

• 1/9

• 1/27

• 1/6

• 2/9