Probability and tree diagrams

There are 8 counters in a bag, 1 is red.

I take one counter, replace it, then take another.

What is the probability of taking counters of the same colour?

• ¹⁴/₆₄

• ¹/₆₄

• ⁵⁰/₆₄

• ⁴⁹/₆₄

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

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 both are odd?

• 1/4

• 1/2

• 2/4

• 3/4

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

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?

• 1/2

• 1/4

• 3/4

• 1/3

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. What is 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

James starts to draw a diagram for rolling two dice and recording whether a 6 is rolled or not. 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

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

The probability of rain tomorrow is 1/4. If it does rain, the probability of school being closed is 2/5. If it does not rain, the probability of school being closed is 1/20. What is the probability that it rains and school is open?

• 3/20

• 2/20

• 2/5

• 1/4

Tags

CCSS.7.EE.B.3

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

The probability of getting Broccoli and fish for dinner is:

• 0.5

• 0.15

• 0.7

• 1

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

What is the probability that I play badminton and win?

• 0.2

• 0.16

• 0.64

• 0.8

Tags

CCSS.HSS.CP.B.8

What is the probability that I win the game I play?

• 0.70

• 0.64

• 0.06

• 1.1

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

CCSS.HSS.CP.B.9

CCSS.HSS.MD.A.3