Independent and Dependent Probability

A bag contains 5 striped cubes, 3 dotted cubes, 4 white cubes and 3 red cubes. What is the probability of drawing a red cube, replacing it, and then drawing a white cube?

• independent

• dependent

A bag contains 2 striped cubes, 3 dotted cubes, 4 white cubes and 3 red cubes. What is the probability of drawing a white cube, not replacing it, and then drawing a dotted cube?

• dependent

• independent

A pocket contains 3 pennies, 2 nickels, 3 quarters and 4 dimes. What is the probability of randomly choosing a quarter two times in a row if the first coin drawn is not replaced?

• dependent

• independent

Clinton has a bag of Skittles™. Inside the bag are 6 red, 4 orange, 7 yellow, 3 purple and 4 green Skittles™. What is the probability of drawing a green Skittle™, replacing it, and then drawing another green Skittle™?

• independent

• dependent

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

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 five or greater if the first card is replaced?

• 1/4

• 2/3

• 3/10

• 3/5

What is the probability that Tom will get a lollipop, replace it, then draw a gumball? The treat bag containing 6 lollipops and 4 gum balls

• 1/24

• 1/90

• 6/25

• 1/10

There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. What is the probability that both times the coin is a nickel?

• 6/13

• 2/7

• 5/16

• 3/19

• 36/169

Out of 125 children at summer camp,45 signed up for swimming and 38 signed up for arts and crafts. Twelve students who signed up for swimming also signed up for arts and crafts. If a child is randomly selected, what is the probability that they are signed up for swimming, if it is known that they did not sign up for arts and crafts?

(a)  

A box contains 3 brand A batteries and 7 brand B batteries. 30% of brand A batteries are faulty and 40% of brand B batteries are faulty. A battery is selected at random and then checked to see if it is faulty. What is the probability that a not faulty brand A battery is selected?

• 0.21

• 0.09

• 0.28

• 0.25