SL Probability

SL Probability

10th - 12th Grade

30 Qs

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SL Probability

SL Probability

Assessment

Quiz

Mathematics

10th - 12th Grade

Practice Problem

Medium

Used 6+ times

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30 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Draw a Venn diagram from this information to use for questions 1 - 7.


In a class of 30 students, 18 have a dog, 20 have a cat and 3 have neither.


How many students have both a cat and a dog?

11

10

9

8

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If a student is chosen at random, what is the probability that they own a cat but not a dog?

310\frac{3}{10}

13\frac{1}{3}

23\frac{2}{3}

1130\frac{11}{30}

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If a student is chosen at random, what is the probability they own exactly one pet?

815\frac{8}{15}

2730\frac{27}{30}

1130\frac{11}{30}

35\frac{3}{5}

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If a student is chosen at random, what is the probability that they own a cat, given that they own a dog?

1118\frac{11}{18}

1120\frac{11}{20}

718\frac{7}{18}

920\frac{9}{20}

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If 2 students are chosen at random, what is the probability they both own dogs?

51145\frac{51}{145}

925\frac{9}{25}

54145\frac{54}{145}

1750\frac{17}{50}

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Are the events A - "owning a cat" and B = "owning a dog" independent?

No because P(A)×P(B)P(AB)P\left(A\right)\times P\left(B\right)\ne P\left(A\cap B\right)

Yes because P(A)×P(B)=P(AB)P\left(A\right)\times P\left(B\right)=P\left(A\cap B\right)

No because P(A)×P(B)P(AB)P\left(A\right)\times P\left(B\right)\ne P\left(A\cup B\right)

Yes because P(A)×P(B)=P(AB)P\left(A\right)\times P\left(B\right)=P\left(A\cup B\right)

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Are the events A - "owning a cat" and B = "owning a dog" mutually exclusive?

No because P(AB)0P\left(A\cap B\right)\ne0

No because P(AB)0P\left(A\cup B\right)\ne0

Yes because you can own both.

No because you can other types of pets too.

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