Gr 10 Math lit: Ch 7.1 Probability, Expression and Representation

What is the probability of rain if it rained on 60 out of 100 days with similar weather conditions?

40%

50%

60% (correct)

30%

What is the formula for calculating the probability of an event E?

P(E) = Total number of possible outcomes / Number of favourable outcomes

P(E) = 1 - Number of favourable outcomes

P(E) = 1 / (Number of favourable outcomes)

P(E) = Number of favourable outcomes / Total number of possible outcomes (correct)

What is the purpose of a tree diagram?

To calculate the relative frequency of an event

To show the outcomes of two events

To show all possible outcomes of an event or series of events (correct)

To show the probability of a single event

What is the formula for calculating the complement of an event E?

P(not E) = 1 - P(E) Signup and view all the answers

What is the purpose of a two-way table?

To show the outcomes of two events, making it easier to calculate combined probabilities Signup and view all the answers

What is the formula for calculating the relative frequency of an event?

Relative Frequency = Number of times an event occurs / Total number of trials Signup and view all the answers

What value on the probability scale represents an event that is very unlikely to occur?

0.2 Signup and view all the answers

Which type of game ensures an equal chance of winning or losing?

Fair game Signup and view all the answers

What is the theoretical probability of rolling a multiple of 3 on a fair six-sided die?

1/3 Signup and view all the answers

What is the relative frequency of getting tails when flipping a coin 8 times and getting 3 tails?

5/8 Signup and view all the answers

Which outcome would be part of the event 'rolling a prime number' on a fair six-sided die?

5 Signup and view all the answers

If an event on the probability scale is at 0.8, how would you describe its likelihood?

Very Likely Signup and view all the answers

Which type of game can be described as having a disadvantage for one player due to biased rules in favor of the other player?

Biased game Signup and view all the answers

What type of probability describes the chance of an event based on calculations rather than experimental results?

Theoretical Probability Signup and view all the answers

What is the probability of an event that is certain to occur?

1 Signup and view all the answers

What is the term for the number of times an event occurs in a trial?

Frequency Signup and view all the answers

What is the purpose of a tree diagram?

To show all possible outcomes of an event Signup and view all the answers

What is the term for the collection of one or more outcomes?

Event Signup and view all the answers

What is the probability of an event that is very likely to occur?

Near 1 Signup and view all the answers

What type of probability is based on the actual results of an experiment?

Relative Frequency Signup and view all the answers

What is the term for a game that is weighted to favor one player over another?

Unfair Game Signup and view all the answers

What is the probability of an event that is impossible to occur?

0 Signup and view all the answers

What is the primary purpose of analyzing past weather data in making weather predictions?

To determine the probability of a particular weather event Signup and view all the answers

Which of the following is an example of a favourable outcome?

It rains on a particular day Signup and view all the answers

What is the purpose of a two-way table in probability calculations?

To show the probability of two independent events Signup and view all the answers

If P(E) is 0.7, what is the probability of the complement of event E?

0.3 Signup and view all the answers

What is the main difference between a tree diagram and a two-way table?

A tree diagram is a visual representation, while a two-way table is a numerical representation Signup and view all the answers

What is the term for the number of times an event occurs divided by the total number of trials?

Relative Frequency Signup and view all the answers

What is the primary distinction between theoretical probability and relative frequency?

Theoretical probability is based on calculations, while relative frequency is based on experiments. Signup and view all the answers

What is the purpose of using a tree diagram in probability?

To visualize all possible outcomes of an event Signup and view all the answers

What is the probability of an event that is certain to occur on the probability scale?

1 Signup and view all the answers

Which of the following is an example of an unfair game?

A lottery draw with biased rules Signup and view all the answers

What is the term for the collection of one or more outcomes in probability?

Event Signup and view all the answers

What is the primary purpose of using probability in weather predictions?

To make accurate weather forecasts Signup and view all the answers

Which of the following is an example of a combined outcome?

Rolling an even number on a fair six-sided die Signup and view all the answers

What is the term for the number of times an event occurs in a trial?

Frequency Signup and view all the answers

What is the primary purpose of calculating the probability of an event?

To determine the likelihood of an event occurring in the future Signup and view all the answers

What is the key difference between the probability of an event and its relative frequency?

The probability is based on theoretical calculations, while relative frequency is based on experimental results Signup and view all the answers

What is the purpose of using a two-way table in probability calculations?

To show the relationship between two events Signup and view all the answers

What is the probability of the complement of an event if P(E) = 0.4?

0.6 Signup and view all the answers

Why are tree diagrams and two-way tables used in probability?

To visualize all possible outcomes of combined events Signup and view all the answers

What is the key concept behind weather prediction using past weather data?

Analyzing past weather data to predict future outcomes Signup and view all the answers

Gr 10 Math lit: Ch 7.1 Probability, Expression and Representation

Questions and Answers

What is the probability of rain if it rained on 60 out of 100 days with similar weather conditions?

What is the formula for calculating the probability of an event E?

What is the purpose of a tree diagram?

What is the formula for calculating the complement of an event E?

What is the purpose of a two-way table?

What is the formula for calculating the relative frequency of an event?

What value on the probability scale represents an event that is very unlikely to occur?

Which type of game ensures an equal chance of winning or losing?

What is the theoretical probability of rolling a multiple of 3 on a fair six-sided die?

What is the relative frequency of getting tails when flipping a coin 8 times and getting 3 tails?

Which outcome would be part of the event 'rolling a prime number' on a fair six-sided die?

If an event on the probability scale is at 0.8, how would you describe its likelihood?

Which type of game can be described as having a disadvantage for one player due to biased rules in favor of the other player?

What type of probability describes the chance of an event based on calculations rather than experimental results?

What is the probability of an event that is certain to occur?

What is the term for the number of times an event occurs in a trial?

What is the purpose of a tree diagram?

What is the term for the collection of one or more outcomes?

What is the probability of an event that is very likely to occur?

What type of probability is based on the actual results of an experiment?

What is the term for a game that is weighted to favor one player over another?

What is the probability of an event that is impossible to occur?

What is the primary purpose of analyzing past weather data in making weather predictions?

Which of the following is an example of a favourable outcome?

What is the purpose of a two-way table in probability calculations?

If P(E) is 0.7, what is the probability of the complement of event E?

What is the main difference between a tree diagram and a two-way table?

What is the term for the number of times an event occurs divided by the total number of trials?

What is the primary distinction between theoretical probability and relative frequency?

What is the purpose of using a tree diagram in probability?

What is the probability of an event that is certain to occur on the probability scale?

Which of the following is an example of an unfair game?

What is the term for the collection of one or more outcomes in probability?

What is the primary purpose of using probability in weather predictions?

Which of the following is an example of a combined outcome?

What is the term for the number of times an event occurs in a trial?

What is the primary purpose of calculating the probability of an event?

What is the key difference between the probability of an event and its relative frequency?

What is the purpose of using a two-way table in probability calculations?

What is the probability of the complement of an event if P(E) = 0.4?

Why are tree diagrams and two-way tables used in probability?

What is the key concept behind weather prediction using past weather data?

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