Probability and Tree Diagrams

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

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

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

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

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

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

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 exactly 1 six?

• 10/36

• 5/36

• 15/36

• 9/36

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 at least one six?

• 11/36

• 5/36

• 10/36

• 2/12

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

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