Quiz about tree diagrams

Question 1

A tree diagram is useful in determining the __________of a probability experiment.

Accepted Answer

possible outcomes

Answer

result

Answer

event

Answer

none of the above

Question 2

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability both are odd?

Accepted Answer

1/4

Answer

1/2

Answer

2/4

Answer

3/4

Question 3

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?

Accepted Answer

1/2

Answer

1/4

Answer

3/4

Answer

1/3

Question 4

The tree diagram shows the outcomes of rolling a die and flipping a coin.
How many total outcomes are there?

Accepted Answer

12

Answer

6

Answer

24

Answer

36

Question 5

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?

Accepted Answer

3/12

Answer

1/2

Answer

4/12

Answer

0/12

Question 6

The tree diagram shows the outcomes of rolling a die and flipping a coin.
What is the probability of rolling a less than 6 and flipping a head?

Accepted Answer

5/12

Answer

2/12

Answer

3/12

Answer

4/12

Question 7

A bag contains 3 white balls, 4 green balls. 2 balls are drawn from the bag without replacement.
Use a tree diagram to find the probability that the balls are white colors.

Accepted Answer

6/42

Answer

5/13

Answer

5/42

Answer

3/7

Question 8

A bag contains 3 white balls, 4 green balls. 3 balls are drawn from the bag without replacement.
Use a tree diagram to find the probability that the balls are white colors.

Accepted Answer

6/210

Answer

5/18

Answer

6/18

Answer

5/210

Question 9

How many total outfit options are represented?

Accepted Answer

12

Answer

22

Answer

3

Question 10

How many total outfit options are represented?

Accepted Answer

12

Answer

22

Answer

3

Question 11

The cafeteria is serving three kinds of sandwiches: tuna (T), chicken, (C), and peanut butter (P). They are also serving a choice of two drinks: milk (M) or water (W). Which shows the complete set of possible combinations?

Accepted Answer

TW, TM, CW, CM, PW, PM

Answer

TW, CW, PW

Answer

TW, TM, TC, CW, PW

Answer

TCP, MW

Question 12

You have a 3 tops, 2 pants and 2 shoes. How many total outfit options are represented?

Accepted Answer

12 outfits

Answer

22 outfits

Answer

3 outfits

Answer

7 outfits

Question 13

Use the tree diagram to find the probability of tossing a head first and then a tail when a coin is tossed twice.

Accepted Answer

1/4

Answer

1

Answer

1/2

Answer

1/8

Question 14

What is the probability that you will get plain crust with ham on your pizza?

Accepted Answer

1/10

Answer

1/8

Answer

1/2

Answer

2/10

Question 15

Which tree diagram has the most possible outcomes?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Question 16

There are 10 counters in a bag, 3 red and 7 blue.

I take one counter, then another without replacement.

Find the probability of the value marked x

Accepted Answer

7/10

Answer

3/10

Answer

6/9

Answer

2/9

Question 17

There are 10 counters in a bag, 3 red and 7 blue.

I take one counter, then another without replacement.

Find the probability of the value marked y

Accepted Answer

2/9

Answer

7/10

Answer

3/10

Answer

6/9

Question 18

There are 10 counters in a bag, 3 red and 7 blue.

I take one counter, then another without replacement.

Find the probability of the value marked w

Accepted Answer

6/9

Answer

7/10

Answer

3/10

Answer

2/9

Question 19

There are 10 counters in a bag, 3 red and 7 blue.

I take one counter, then another without replacement.

Find the probability of picking two red counters.

Accepted Answer

6/90

Answer

5/19

Answer

⁴⁷/₉₀

Answer

2/9

Question 20

There are 10 counters in a bag, 3 red and 7 blue.

I take one counter, then another without replacement.

Find the probability of picking one of each colour counters.

Accepted Answer

⁴²/₉₀

Answer

²¹/₉₀

Answer

⁴⁸/₉₀

Answer

¹⁰/₁₉

Question 21

A game is played where a fair coin is flipped.

Heads you lose, tails you get to flip again.

On the second go heads you lose and tails you win.

What is the probability of losing on the first go?

Accepted Answer

1/2

Answer

1/4

Answer

3/4

Answer

1

Question 22

A game is played where a fair coin is flipped.

Heads you lose, tails you get to flip again.

On the second go heads you lose and tails you win.

What is the probability of losing on the second go?

Accepted Answer

1/4

Answer

1/2

Answer

3/4

Answer

1

Question 23

A game is played where a fair coin is flipped.

Heads you lose, tails you get to flip again.

On the second go heads you lose and tails you win.

What is the probability of winning?

Accepted Answer

1/4

Answer

1/2

Answer

3/4

Answer

1

Question 24

A game is played where a fair coin is flipped.

Heads you lose, tails you get to flip again.

On the second go heads you lose and tails you win.

What is the probability of losing?

Accepted Answer

3/4

Answer

1/2

Answer

1/4

Answer

1

Question 25

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 a red counter on the first go?

Accepted Answer

1/8

Answer

7/8

Answer

1/7

Answer

6/7

Question 26

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 two red counters?

Accepted Answer

1/64

Answer

1/8

Answer

2/8

Answer

2/64

Question 27

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 a red counter on the second go?

Accepted Answer

1/8

Answer

7/8

Answer

1/7

Answer

6/7

Question 28

Bert & Ernie choose a juice to have for breakfast.

The probability that Bert chooses orange is ³/₄.

If Bert chooses orange, the probability that Ernie chooses orange is ⁴/₅.

If Bert chooses apple the probability that Ernie chooses apple is ²/₃.

Find the value of the probability marked c.

Accepted Answer

1/4

Answer

1/5

Answer

1/3

Answer

3/4

Question 29

Bert & Ernie choose a juice to have for breakfast.

The probability that Bert chooses orange is ³/₄.

If Bert chooses orange, the probability that Ernie chooses orange is ⁴/₅.

If Bert chooses apple the probability that Ernie chooses apple is ²/₃.

Find the value of the probability marked d.

Accepted Answer

1/5

Answer

1/4

Answer

1/3

Answer

3/4

Question 30

Bert & Ernie choose a juice to have for breakfast.

The probability that Bert chooses orange is ³/₄.

If Bert chooses orange, the probability that Ernie chooses orange is ⁴/₅.

If Bert chooses apple the probability that Ernie chooses apple is ²/₃.

Find the value of the probability marked e.

Accepted Answer

1/3

Answer

1/4

Answer

1/5

Answer

3/4

Question 31

Bert & Ernie choose a juice to have for breakfast.

The probability that Bert chooses orange is ³/₄.

If Bert chooses orange, the probability that Ernie chooses orange is ⁴/₅.

If Bert chooses apple the probability that Ernie chooses apple is ²/₃.

What is the probability that Bert & Ernie choose different juices?

Accepted Answer

¹⁴/₆₀

Answer

3/20

Answer

1/12

Answer

¹⁹/₆₀

Question 32

Bert & Ernie choose a juice to have for breakfast.

The probability that Bert chooses orange is ³/₄.

If Bert chooses orange, the probability that Ernie chooses orange is ⁴/₅.

If Bert chooses apple the probability that Ernie chooses apple is ²/₃.

What is the probability that both Bert & Ernie choose orange juice?

Accepted Answer

¹²/₂₀

Answer

3/9

Answer

2/12

Answer

7/9

Question 33

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?

Accepted Answer

0.28

Answer

1/4

Answer

0.42

Answer

0.21

Question 34

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?

Accepted Answer

0.21

Answer

0.09

Answer

0.28

Answer

0.25

Question 35

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?

Accepted Answer

1/36

Answer

1/6

Answer

1/12

Answer

1/2

Question 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 no sixes?

Accepted Answer

25/36

Answer

10/12

Answer

2/12

Answer

2/36

Question 37

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?

Accepted Answer

10/36

Answer

5/36

Answer

15/36

Answer

9/36

Question 38

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?

Accepted Answer

11/36

Answer

5/36

Answer

10/36

Answer

2/12

Question 39

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?

Accepted Answer

1/10

Answer

2/5

Answer

5/20

Answer

4/20

Question 40

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?

Accepted Answer

12/20

Answer

6/20

Answer

2/20

Answer

18/20

Question 41

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?

Accepted Answer

1/9

Answer

2/9

Answer

6/9

Answer

4/9

Question 42

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 the same clour?

Accepted Answer

29/81

Answer

9/81

Answer

3/9

Answer

2/9

Question 43

In a box are 3 red pens, 4 black pens and 2 green pens. You pick a pen at random without putting it back. Your friend then picks a pen. What is the probability you both pick the same colour?

Accepted Answer

20/72

Answer

12/81

Answer

23/81

Answer

15/72

Question 44

Two friends Sally and Bob play each other at tennis, then at squash. When they play tennis Sally wins 75% of the time. When they play squash Bob wins 60% of the time. What is the probability that Sally wins both games?

Accepted Answer

0.3

Answer

0.45

Answer

0.15

Answer

0.1

Question 45

Two friends Sally and Bob play each other at tennis, then at squash. When they play tennis Sally wins 75% of the time. When they play squash Bob wins 60% of the time. What is the probability that Bob wins both games?

Accepted Answer

0.1

Answer

0.15

Answer

0.25

Answer

0.5

Question 46

Two friends Sally and Bob play each other at tennis, then at squash. When they play tennis Sally wins 75% of the time. When they play squash Bob wins 60% of the time. What is the probability they win one game each?

Accepted Answer

0.55

Answer

0.45

Answer

0.35

Answer

0.65

Question 47

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?

Accepted Answer

3/20

Answer

2/20

Answer

2/5

Answer

1/4

Question 48

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 school is closed?

Accepted Answer

11/80

Answer

17/80

Answer

9/80

Answer

15/80

Question 49

Machine A makes 60% of the bottles in a factory and machine B makes the others. Machine A breaks 3% of products it produces and Machine B breaks 4%. What percentage of all bottles get broken?

Accepted Answer

3.4%

Answer

3.2%

Answer

3.5%

Answer

3.8%

Question 50

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?

Accepted Answer

3/12

Answer

1/2

Answer

4/12

Answer

0/12

Question 51

Which shows the sample space for flipping two coins?

Accepted Answer

HH, HT, TH, TT

Answer

H, T

Answer

HH, TT

Answer

Dime, Nickel

Question 52

Look carefully at your tree diagram from Max's sandwich. How many of the combinations have tomatoes as one of the choices?

Accepted Answer

4

Answer

2

Answer

3

Answer

5

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