Independent Probability

A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. Mrs. Cox picks one without looking, replaces it and picks another one. What is the probability that she picks two that are orange?

• 9/16

• 3/4

• 1/16

• 5/16

A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll?

• 2/3

• 5/36

• 1/9

• 1/36

Ricardo has the spinner pictured here. He is spinning twice, what is the probability he will land on red both times?

• 1/16

• 1/2

• 1/4

• 1/8

Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green?

• 1/16

• 1/6

• 1/8

• 3/4

You have a bag of 10 marbles. Four are blue, 3 are green, 2 are red and 1 is yellow. What is the probability of drawing a red marble, replacing it, and then drawing a green marble?

• a) 1/5

• b) 2/17

• c) 6/10

• d) 3/50

When using a 6-sided number cube, what is the probability of rolling a 3, then not rolling a 3?

• a) 1/12

• b) 1/3

• c) 5/6

• d) 5/36

A fruit basket contains 9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does replace it, then chooses another. What is the probability that he chose two pears?

• a) 1/25

• b) 4/125

• c) 5/25

• d) 2/25

Kaylee has 3 blue, 2 brown, 5 black, 1 purple, and 4 pink scrunchies and she always replaces them. What is the probability that she will choose a blue scrunchie on Monday and a pink scrunchie on Tuesday?

• a) 3/8

• b) 4/75

• c) 3/64

• d) 15/32

A box contains 7 green balls, 5 yellow balls, and 2 purple balls. Mr. Smith picks one without looking, replaces it and picks another one. What is the probability that he picks two that are purple?

• a) 7/14

• b) 2/7

• c) 1/49

• d) 4/14

Emily has 4 red, 3 green, 6 white, 2 yellow, and 5 orange hairbands and she always replaces them. What is the probability that she will choose a red hairband on Wednesday and an orange hairband on Thursday?

• 4/100

• 1/16

• 1/20

• 20/80