Probability With or Without Replacement

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. You draw 2 marbles without replacement. What is the probability that you draw an orange then a green?

• 6/90

• 6/19

• 6/10

• 3/90

A jar contains 3 purple marbles, 1 white marble and 1 red marble. What is the probability that you pick 2 purple marbles without replacement?

• 9/25

• 6/20

• 6/25

• 3/5

A basket contains four apples and six peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. Both pieces of fruit are apples. P(apple, apple)

• 12/90

• 4/10

• 16/100

• 6/21

Mrs. Cole has to choose two pieces of fruit for her lunch. If she randomly takes two pieces of fruit from a bowl of 8 oranges and 8 apples, what is the probability she will choose two apples? (Mrs. Cole does not put back the first piece of fruit before she takes the second piece of fruit)

P(apple, apple)

• 1/4

• 7/30

• 56/240

• 1/64

Lisa flipped the same coin 3 times. What is the probability she obtained all tails?

• 1/2
• 1/4
• 1/16
• 1/8

Which compound event represents an example without replacement

• 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.

In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, not replacing it, and then picking a blue pen?

• 1/2
• 4/11
• 1/10
• 2/3

Your drawer contains 4 red socks and 6 blue socks. It's too dark to see which are which, but you grab two anyway. What is the probability that both socks are red?

• 2/15

• 36/256

• 1/3

• 12/90

A bag contains 2 blue marbles, 3 black marbles, and 5 red marbles. If Mrs. Grow pulls two marbles without replacement, what is the probability of them both being blue? 

• 1/45
• 1/5
• 1/20
• 2/5

You roll a six sided die. What is the probability of rolling an even number three times in a row? 

• 3/100
• 1/2
• 1/6
• 1/8