ABM A – Unit 6- Set 2 – Motivational Banker

1. What is a simple event?

An event with complex outcomes

An event with multiple sample points

An event with a single outcome

An event with average results

Question 1 of 46

2. In the experiment of rolling a dice, what is the sample space?

{1, 2, 3, 4, 5, 6}

{2, 4, 6}

{1, 3, 5}

{1, 2, 3}

Question 2 of 46

3. What is a compound event?

An event with a complex outcome

An event with multiple outcomes

An event with average results

An event with only one outcome

Question 3 of 46

4. In the experiment of tossing a coin twice, how many possible outcomes are there in the sample space?

Question 4 of 46

5. What is an example of a simple event in the experiment of tossing a coin twice?

Getting at least one head

Getting tails on the first toss

Getting heads on both tosses

Getting tails on both tosses

Question 5 of 46

6. How is an event classified as compound?

It has complex outcomes

It has multiple sample points

It consists of a single outcome

It is unrelated to the sample space

Question 6 of 46

7. What is an example of a compound event in the experiment of tossing a coin twice?

Getting heads on the first toss

Getting tails on both tosses

Getting at least one tail

Getting heads on both tosses

Question 7 of 46

8. Why are events important in the context of a random experiment?

To complicate outcomes

To simplify outcomes

To calculate probabilities of outcomes

To avoid outcomes

Question 8 of 46

9. How are probabilities of events calculated?

By subtracting simple event probabilities

By multiplying simple event probabilities

By dividing simple event probabilities

By summing simple event probabilities

Question 9 of 46

10. What is the significance of calculating probabilities for events?

To make outcomes more complex

To analyze simple events

To determine the likelihood of different outcomes

To exclude outcomes from consideration

Question 10 of 46

11. In the calculation of event probabilities, what is considered for summation?

Probabilities of compound events

Probabilities of simple events within the event

Probabilities of unrelated events

Probabilities of exclusive events

Question 11 of 46

12. How does understanding the probabilities of events benefit random experiments?

By making outcomes certain

By introducing uncertainty

By providing insights into likelihoods

By avoiding calculations

Question 12 of 46

13. What is the primary goal of calculating event probabilities?

To complicate outcomes

To simplify outcomes

To predict specific outcomes

To assess the likelihood of different outcomes

Question 13 of 46

14. Why is it essential to consider simple events when calculating event probabilities?

To make calculations complex

To avoid simple outcomes

To determine the likelihood of the event

To exclude simple outcomes

Question 14 of 46

15. What role do probabilities of simple events play in the overall probability of an event?

They are subtracted

They are multiplied

They are divided

They are summed

Question 15 of 46

16. How do calculated probabilities assist in understanding random experiments?

By making outcomes certain

By introducing confusion

By providing insights into likelihoods

By avoiding analysis

Question 16 of 46

17. What concept is crucial in understanding the importance of events in probability?

Certainty

Uncertainty

Complexity

Simplicity

Question 17 of 46

18. What is a simple event?

An event that can only happen in one way

An event with complex outcomes

An event that involves multiple steps

An event with uncertain outcomes

Question 18 of 46

19. Give an example of a simple event.

Tossing a coin and getting heads

Rolling a dice and getting a 7

Selecting a card from a deck and getting a king

Flipping a coin and getting either heads or tails

Question 19 of 46

20. What is a compound event?

An event that can only happen in one way

An event that consists of two or more simple events

An event that is independent of other events

An event that is mutually exclusive

Question 20 of 46

21. Provide an example of a compound event.

Rolling a dice and getting a 3

Tossing a coin and getting heads or tails

Drawing a card from a deck and getting a red card

Selecting a card from a deck and getting any card

Question 21 of 46

22. What characterizes independent events?

The outcome of one event affects the other

The events cannot occur at the same time

The events consist of all possible outcomes

The outcome of one event does not affect the other

Question 22 of 46

23. Give an example of independent events.

Tossing a coin and rolling a dice

Drawing two cards from a deck without replacement

Selecting a card from a deck and getting a king

Rolling a dice and getting an even number

Question 23 of 46

24. What characterizes mutually exclusive events?

The outcome of one event does not affect the other

The events consist of all possible outcomes

The events cannot occur at the same time

The outcome of one event affects the other

Question 24 of 46

25. Provide an example of mutually exclusive events.

Drawing a card from a deck and getting a king

Rolling a dice and getting an odd number

Tossing a coin and getting heads

Drawing a card from a deck and getting a red card

Question 25 of 46

26. What are complementary events?

Events that are independent of each other

Events that consist of all possible outcomes

Events that cannot occur at the same time

Events that cannot happen in one way

Question 26 of 46

27. Provide an example of complementary events.

Tossing a coin and getting heads or tails

Drawing a card from a deck and getting a spade

Rolling a dice and getting a 3

Selecting a card from a deck and getting a face card

Question 27 of 46

28. What is the mathematical definition of probability?

The likelihood of certain outcomes

The ratio of favourable outcomes to possible outcomes

The number of outcomes in a specific event

The sum of all outcomes in an experiment

Question 28 of 46

29. How is the probability of an event A expressed mathematically?

P(A. = Number of impossible outcomes / Total possible outcomes

P(A. = Total number of possible outcomes / Number of favourable outcomes

P(A. = Number of favourable outcomes / Total number of possible outcomes

P(A. = Total number of possible outcomes - Number of favourable outcomes

Question 29 of 46

30. What does the value of P(A. represent in the mathematical definition of probability?

The number of possible outcomes

The likelihood of the event occurring

The number of impossible outcomes

The sum of all outcomes

Question 30 of 46

31. In the probability scale, what does a value of 0 represent?

Certainty

Impossibility

Uncertainty

Randomness

Question 31 of 46

32. What does a probability of 0.5 (or 50%) indicate?

Certainty

Impossibility

Equally likely to occur or not occur

Uncertain outcomes

Question 32 of 46

33. What is the range of values for the probability P(A.?

0 to 10

0 to 100

0 to 0.5

0 to 1

Question 33 of 46

34. If an event is equally likely to occur or not occur, what is its probability?

0.5

Question 34 of 46

35. How is the probability of an event expressed when the event is certain to occur?

P(A. = 1

P(A. = 0

P(A. = 0.5

P(A. = 100

Question 35 of 46

36. What does a probability of 0 indicate?

Uncertainty

Certainty

Impossibility

Randomness

Question 36 of 46

37. What concept does the mathematical definition of probability use to express likelihood?

Numbers of possible outcomes

Ratio of favourable outcomes to possible outcomes

Sum of all outcomes

Difference between outcomes

Question 37 of 46

38. What does conditional probability refer to?

Probability of an event occurring

Probability of one event given another has occurred

Probability of two independent events

Probability of complementary events

Question 38 of 46

39. How is conditional probability denoted?

P(A and B.

P(A | B.

P(A * B.

P(A or B.

Question 39 of 46

40. What does P(A|B. represent?

Probability of event A occurring

Probability of event B occurring

Probability of both events A and B occurring

Probability of event A occurring given that event B has occurred

Question 40 of 46

41. How many outcomes are there in the sample space of tossing two coins?

Question 41 of 46

42. What is the probability of getting tails on the second coin given that the first coin is heads?

1/4

1/2

3/4

Question 42 of 46

43. What concept does P(A | B. represent in conditional probability?

Probability of event A

Joint probability of events A and B

Probability of event B

Probability of complementary events

Question 43 of 46

44. What is a probability distribution?

A set of random events

A function describing probabilities of possible values

A list of outcomes in a random experiment

A table representing sample space

Question 44 of 46

45. In what forms can a probability distribution be represented?

Only as a table

Only as a graph

Only as a formula

Table, graph, or formula

Question 45 of 46

46. How many types of random variables are there, and what are they?

One type: continuous

One type: discrete

Two types: discrete and continuous

Three types: discrete, continuous, and mixed

Question 46 of 46

ABM A – Unit 6- Set 2

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