Finding Probabilities Of Complementary Events Quiz

1) P(Heads)=0.6 → P(Tails)=?

0.3

0.5

0.4

0.6

1 − 0.6 = 0.4

Explanation

1 − 0.6 = 0.4

2) Raffle 200 tickets, you have 5 → not win =?

5/200

1−5/200

190/200

195/200

200 − 5 = 195 → 195/200

Explanation

200 − 5 = 195 → 195/200

3) Attend = 0.58 → not attend =?

0.41

0.48

0.42

0.52

1 − 0.58 = 0.42

Explanation

1 − 0.58 = 0.42

4) Card from 52 cards → not heart =?

3/4

1/4

13/52

12/52

13 hearts → 52 − 13 = 39 → 39/52 = 3/4

Explanation

13 hearts → 52 − 13 = 39 → 39/52 = 3/4

5) 50 flips: Heads 28 times → not Heads =?

23/50

22/50

28/50

1/2

50 − 28 = 22 → 22/50

Explanation

50 − 28 = 22 → 22/50

6) Spinner A,B,C,D. P(A)=1/4 → P(not A)=?

1/2

1/4

3/4

3/8

1 − 1/4 = 3/4

Explanation

1 − 1/4 = 3/4

7) 10 candies: 4 cherry → not cherry =?

6/10

4/10

3/10

7/10

10 − 4 = 6 → 6/10

Explanation

10 − 4 = 6 → 6/10

8) Homework collected = 0.9 → not collected =?

0.2

0.9

0.05

0.1

1 − 0.9 = 0.1

Explanation

1 − 0.9 = 0.1

9) Chance of winning = 12% → not winning =?

90%

78%

12%

88%

100 − 12 = 88%

Explanation

100 − 12 = 88%

10) Numbers 1–20. Not multiple of 5 =?

4/20

16/20

5/20

15/20

4 multiples of 5 → 20 − 4 = 16 → 16/20

Explanation

4 multiples of 5 → 20 − 4 = 16 → 16/20

11) Based on the experimental results, what is the experimental probability of landing on Red on the next spin?

0.36

0.38

0.40

0.76

76 red spins out of 200 → 76 ÷ 200 = 0.38

Explanation

76 red spins out of 200 → 76 ÷ 200 = 0.38

12) Rain = 0.25 → no rain =?

0.75

0.50

0.20

0.80

1 − 0.25 = 0.75

Explanation

1 − 0.25 = 0.75

13) 30% prefer soccer → not soccer =?

30%

60%

50%

70%

100 − 30 = 70%

Explanation

100 − 30 = 70%

14) Die rolled once. Not 1 or 2 = ?

1/3

1/2

5/6

2/3

4 good numbers (3,4,5,6) → 4/6 = 2/3

Explanation

4 good numbers (3,4,5,6) → 4/6 = 2/3

15) Bag: 3 red, 5 blue, 2 green. Not blue = ?

4/10

5/10

7/10

3/5

3 + 2 = 5 not blue → 5/10

Explanation

3 + 2 = 5 not blue → 5/10

16) If P(Yellow) = 54/200, what is P(not Yellow)?

146/200

54/200

100/200

76/200

200 − 54 = 146 → 146/200

Explanation

200 − 54 = 146 → 146/200

17) What is the probability of not landing on Blue?

150/200

152/200

124/200

48/200

200 − 48 = 152 → 152/200

Explanation

200 − 48 = 152 → 152/200

18) Using the theoretical spinner, what is P(not Yellow)?

2/8

5/8

6/8

7/8

Yellow = 1/8 → 1 − 1/8 = 7/8

Explanation

Yellow = 1/8 → 1 − 1/8 = 7/8

19) Using the theoretical spinner, what is P(Green)?

4/8

2/8

1/8

3/8

Green has 2 sections out of 8 → 2/8

Explanation

Green has 2 sections out of 8 → 2/8

20) Using the experimental probability from Question 1, what is the probability of not landing on Red?

0.62

0.63

0.24

0.52

1 − 0.38 = 0.62

Explanation

1 − 0.38 = 0.62

Finding Probabilities of Complementary Events Quiz

1) P(Heads)=0.6 → P(Tails)=?

2) Raffle 200 tickets, you have 5 → not win =?

3) Attend = 0.58 → not attend =?

4) Card from 52 cards → not heart =?

5) 50 flips: Heads 28 times → not Heads =?

6) Spinner A,B,C,D. P(A)=1/4 → P(not A)=?

7) 10 candies: 4 cherry → not cherry =?

8) Homework collected = 0.9 → not collected =?

9) Chance of winning = 12% → not winning =?

10) Numbers 1–20. Not multiple of 5 =?

11) Based on the experimental results, what is the experimental probability of landing on Red on the next spin?

12) Rain = 0.25 → no rain =?

13) 30% prefer soccer → not soccer =?

14) Die rolled once. Not 1 or 2 = ?

15) Bag: 3 red, 5 blue, 2 green. Not blue = ?

16) If P(Yellow) = 54/200, what is P(not Yellow)?

17) What is the probability of not landing on Blue?

18) Using the theoretical spinner, what is P(not Yellow)?

19) Using the theoretical spinner, what is P(Green)?

20) Using the experimental probability from Question 1, what is the probability of not landing on Red?