Probability and Independence Quiz

Test your knowledge of probability theory with questions on independence, conditional probability, and more.

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If two events are independent, what is the probability of both events occurring?

The sum of their probabilities

The product of their probabilities

The difference of their probabilities

The quotient of their probabilities

1 answered

What is the probability of drawing an ace from a standard deck of 52 playing cards?

1/13

4/13

1/52

1/4

1 answered

If two events are mutually exclusive, what is the probability of both events occurring?

The sum of their probabilities

The product of their probabilities

The difference of their probabilities

The quotient of their probabilities

What is the probability of selecting a black card from a standard deck of 52 playing cards?

1/4

1/2

26/52

13/52

If two events are independent, what is the probability of neither event occurring?

The sum of their probabilities

The product of their probabilities

The difference of their probabilities

The quotient of their probabilities

What is the formula for the probability of event A given event B, denoted as P(A|B), if A and B are independent events?

P(A) + P(B)

P(A) * P(B)

P(A) - P(B)

P(A) / P(B)

In a standard deck of 52 playing cards, what is the probability of drawing a red card and then drawing a black card if the cards are drawn without replacement?

1/4

1/2

25/52

26/51

Two events A and B are said to be independent if:

P(A) = P(B)

P(A ∩ B) = P(A) * P(B)

P(A ∪ B) = P(A) + P(B)

P(A ∩ B) = 0

What is the complement rule in probability?

The probability of an event not occurring is 1 minus the probability of the event occurring

The probability of an event occurring is 1 minus the probability of the event not occurring

The probability of an event occurring is equal to the probability of the event not occurring

The probability of an event not occurring is equal to the probability of the event occurring

#10

If the probability of event A is 0.4 and the probability of event B is 0.3, what is the probability of either event A or event B occurring?

0.7

0.1

0.2

0.5

#11

In a group of 20 students, 12 are boys and 8 are girls. If a student is selected at random, what is the probability that the student is a girl or a boy?

12/20

8/20

20/12

#12

If the probability of event A is 0.6 and the probability of event B is 0.5, what is the probability of both event A and event B occurring if A and B are independent?

0.2

0.3

0.1

0.4

#13

What is the formula for conditional probability P(A|B) when A and B are independent events?

P(A) * P(B)

P(A|B) = P(B|A)

P(A|B) = P(A)

P(A|B) = P(A) * P(B)

#14

If the probability of event A is 0.3 and the probability of event B is 0.6, and A and B are mutually exclusive, what is the probability of either event A or event B occurring?

0.18

0.9

0.7

0.3

#15

In a group of 30 students, 18 are studying Math, and 12 are studying Physics. If 8 students are studying both Math and Physics, what is the probability that a randomly chosen student is studying at least one of the two subjects?

2/5

5/6

3/5

4/5

Probability and Independence Quiz

If two events are independent, what is the probability of both events occurring?

What is the probability of drawing an ace from a standard deck of 52 playing cards?

If two events are mutually exclusive, what is the probability of both events occurring?

What is the probability of selecting a black card from a standard deck of 52 playing cards?

If two events are independent, what is the probability of neither event occurring?

What is the formula for the probability of event A given event B, denoted as P(A|B), if A and B are independent events?

In a standard deck of 52 playing cards, what is the probability of drawing a red card and then drawing a black card if the cards are drawn without replacement?

Two events A and B are said to be independent if:

What is the complement rule in probability?

If the probability of event A is 0.4 and the probability of event B is 0.3, what is the probability of either event A or event B occurring?

In a group of 20 students, 12 are boys and 8 are girls. If a student is selected at random, what is the probability that the student is a girl or a boy?

If the probability of event A is 0.6 and the probability of event B is 0.5, what is the probability of both event A and event B occurring if A and B are independent?

What is the formula for conditional probability P(A|B) when A and B are independent events?

If the probability of event A is 0.3 and the probability of event B is 0.6, and A and B are mutually exclusive, what is the probability of either event A or event B occurring?

In a group of 30 students, 18 are studying Math, and 12 are studying Physics. If 8 students are studying both Math and Physics, what is the probability that a randomly chosen student is studying at least one of the two subjects?

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