Formules Probabilité

Question 1

vrai ou faux le total des proba est egal a 1.

Answer 1

vrai

Question 2

formule des probabilité totale?

Answer 2

P(B) = P(A1|B)+P(A2|B)+….

Question 3

formule proba conditionnelle?

Answer 3

PA(B) = P(A ∩ B) / P(B) ou P(A|B)= P(A)*PA(B)

Question 4

True or False: If events A and B are independent, then P(A|B) = P(A).

Answer 4

True

Question 5

What is the definition of independent events?

Answer 5

Independent events are events where the occurrence of one event does not affect the occurrence of another event.

Question 6

What is the formula for independent events?

Answer 6

P(A ∩ B) = P(A) * P(B)

Question 7

What is the definition of mutually exclusive events?

Answer 7

Mutually exclusive events are events that cannot occur simultaneously.

Question 8

What is the formula for mutually exclusive events?

Answer 8

P(A ∩ B) = 0

Question 9

In a deck of playing cards, drawing a red card and drawing a spade are examples of what type of events?

Answer 9

Mutually exclusive events

Question 10

If events A and B are independent, what is the formula for the joint probability of A and B?

Answer 10

P(A ∩ B) = P(A) * P(B)

Question 11

If events A and B are independent, what is the formula for the conditional probability of A given B?

Answer 11

P(A|B) = P(A)

Question 12

If events A and B are independent, what is the formula for the conditional probability of B given A?

Answer 12

P(B|A) = P(B)

Question 13

In a survey, what is the probability of selecting a male respondent given that the respondent is under 30 years old?

Answer 13

Conditional probability

Question 14

When calculating total probability, what must the probabilities of all possible outcomes add up to?

Answer 14

1

Question 15

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

Answer 15

0

Question 16

If two events are independent, what is the formula for the probability of at least one event occurring?

Answer 16

P(A or B) = P(A) + P(B) - P(A ∩ B)

Question 17

In a coin toss, what is the probability of getting heads given that the coin is fair?

Answer 17

Independent events

Question 18

What is the formula for the probability of event A not occurring?

Answer 18

P(A’) = 1 - P(A)

Question 19

What is the formula for the probability of event A or event B occurring?

Answer 19

P(A or B) = P(A) + P(B) - P(A ∩ B)

Question 20

If events A and B are mutually exclusive, what is the formula for the probability of either event A or event B occurring?

Answer 20

P(A or B) = P(A) + P(B)

Question 21

In a dice roll, what is the probability of rolling a 1 or a 6?

Answer 21

Mutually exclusive events

Question 22

When events A and B are not mutually exclusive, what is the formula for the probability of either event A or event B occurring?

Answer 22

P(A or B) = P(A) + P(B) - P(A ∩ B)

Question 23

What is the formula for the probability of event A given that event B has not occurred?

Answer 23

P(A|B’) = P(A and B’) / P(B’)