Tree diagrams and conditional probability

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling an even number and flipping a head?

• ³/₁₂
• ¹/₂
• ⁴/₁₂
• ⁰/₁₂

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.8

The tree diagram shows the outcomes of rolling a die and flipping a coin.

What is the probability of rolling a number that is less than 6 and then flipping a head?

• ²/₁₂

• ³/₁₂

• ⁴/₁₂

• ⁵/₁₂

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.8

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability that one is even and one is odd? Think: what do you do with the numbers on the tree branches?

• 1/2

• 1/4

• 3/4

• 1/3

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

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 faulty brand B battery is selected?

• 0.28

• 1/4

• 0.42

• 0.21

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

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 NON faulty brand A battery is selected?

• 0.21

• 0.09

• 0.28

• 0.25

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

James started to draw a diagram for rolling two dice and recording whether a 6 is rolled or not. Finish his diagram. What is the probability of rolling 2 sixes?

• 1/36

• 1/6

• 1/12

• 1/2

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

James starts to draw a diagram for rolling two dice and recording whether a 6 is rolled or not. Finish the diagram and use it to find the probability of rolling no sixes.

• 25/36

• 10/12

• 2/12

• 2/36

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

A bag contains 3 lemons and 2 limes. A piece of fruit is taken from the bag and not put back. Then a second piece is taken. What is the probability of taking two limes?

• 1/10

• 2/5

• 5/20

• 4/20

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

A bag contains 3 lemons and 2 limes. A piece of fruit is taken from the bag and not put back. Then a second piece is taken. What is the probability of taking exactly 1 lemon?

• 12/20

• 6/20

• 2/20

• 18/20

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

In a box are 3 red pens, 4 black pens and 2 green pens. You pick a pen at random and then put it back. Your friend then picks a pen. What is the probability you both pick red?

• 1/9

• 2/9

• 6/9

• 4/9

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8