Multistage probabilities test, 12 grade

Question Nr. 1 out of 10

How is an event probability calculated in a probability tree?

Multiply every branch in the whole tree

Add along every path

Multiply probabilities along a path and add probabilities of favourable disjoint paths

Ignore conditional probabilities

Question Nr. 2 out of 10

An independent event with probability 80% must occur three times in a row. Find the decimal probability.

0.41

0.13

0.33

0.51

0.68

Question Nr. 3 out of 10

Independent events A and B have probabilities 50% and 80%. Find P(A and B) as a decimal.

0.27

0.99

0.26

0.4

0.76

Question Nr. 4 out of 10

How are “and” and “or” interpreted in probability?

The words have no mathematical role

“And” usually follows one path and multiplies; incompatible “or” branches add

Both words always mean addition

Both always mean multiplication

Question Nr. 5 out of 10

Of 12 equally likely outcomes, 4 favour A and 3 favour B; the events are incompatible. Find P(A or B).

4/12

12/12

3/12

7/12

Question Nr. 6 out of 10

A box has 3 red and 3 blue balls. Two are drawn with replacement. Find the probability both are red.

3/6

1/4

2/5

Question Nr. 7 out of 10

Event A has probability 80%. Find its complement probability.

53 %

16 %

60 %

20 %

79 %

Question Nr. 8 out of 10

An independent event with probability 75% must occur three times in a row. Find the decimal probability.

0.42

0.26

0.28

0.29

0.32

Question Nr. 9 out of 10

How is an event probability calculated in a probability tree?

Multiply probabilities along a path and add probabilities of favourable disjoint paths

Ignore conditional probabilities

Add along every path

Multiply every branch in the whole tree

Question Nr. 10 out of 10

A box has 6 red and 2 blue balls. Two are drawn without replacement. Find the probability both are red.

5/7

2/8

15/28

6/8

Test: Multistage probabilities

Question Nr. 1 out of 10

Question Nr. 2 out of 10

Question Nr. 3 out of 10

Question Nr. 4 out of 10

Question Nr. 5 out of 10

Question Nr. 6 out of 10

Question Nr. 7 out of 10

Question Nr. 8 out of 10

Question Nr. 9 out of 10

Question Nr. 10 out of 10

Sample questions

Test: Multistage probabilities

Question Nr. 1 out of 10

Question Nr. 2 out of 10

Question Nr. 3 out of 10

Question Nr. 4 out of 10

Question Nr. 5 out of 10

Question Nr. 6 out of 10

Question Nr. 7 out of 10

Question Nr. 8 out of 10

Question Nr. 9 out of 10

Question Nr. 10 out of 10

Sample questions

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