$CATEGORY: Maths - TicTacLearn/14. Probability/14. Probability--Probability-A Theoretical Approach

//Multiple Choice

What does the word “probability” refer to? {
~Certainty of an event
=Likelihood of an event
~Failure of an event
~None of these
}

Which of the following is an example of an experiment in probability? {
~Studying for a test
=Flipping a coin
~Watching TV
~Reading a book
}

Which of the following is the sample space for rolling a die? {
=(1, 2, 3, 4, 5, 6)
~(Heads, Tails)
~(Win, Lose)
~(Red, Black, Green)
}

If the probability of getting heads when flipping a coin is 0.5, what is the probability of getting tails? {
~0.25
~0.75
=0.5
~1
}

What is the probability of getting a 5 when rolling a fair die? {
~1/2
~1/3
=1/6
~1
}

What is an example of a sample space when flipping a coin? {
~(Heads)
~(Tails)
=(Heads, Tails)
~(1, 2, 3, 4)
}

What is the probability of getting a number greater than 3 when rolling a die? {
~1/3
=1/2
~2/3
~5/6
}

Which of the following is NOT an experiment? {
~Flipping a coin
~Taking an exam
=Watching a film
~Measuring the temperature
}

If the probability of a specific event is 1, it means the event is _____. {
~Possible but not guaranteed
~Impossible
=Certain
~Random
}

When rolling a die, what is the probability of getting a number less than 7? {
~0
=1
~5/6
~1/2
}

//True or False

Probability is always expressed as a value between 0 and 1. {T}

The sample space includes only one possible outcome of an experiment. {F}

The probability of getting a number greater than 6 when rolling a fair die is 0. {T}

The sum of probabilities of all possible outcomes in an experiment is 1. {T}

If the probability of a specific event is 1, it means the event is impossible. {F}

Rolling a dice is an experiment. {T}

Probability can be negative. {F}

A sample space consists of all possible outcomes of an experiment. {T}

Tossing a coin twice and getting two heads is impossible. {F}

Probability helps measure the likelihood of uncertain events. {T}

//Numericals

What is the probability of getting a 3 when rolling a fair die? {
~1/2
~1/3
=1/6
~1/4
}

What is the probability of getting an even number when rolling a fair die? {
=1/2
~1/3
~1/4
~2/3
}

A bag contains 4 red balls and 6 black balls. What is the probability of drawing a red ball? {
~1/5
=2/5
~3/5
~4/5
}

A coin is tossed twice. What is the probability of getting at least one head? {
~1/2
~1/4
=3/4
~1
}

What is the probability of getting a sum of 7 when rolling two fair dice? {
=1/6
~1/12
~1/8
~1/9
}

//Fill in the blanks

Probability measures the ____ of an event happening. {
~Certainty
=Likelihood
~Failure
~Duration
}

The set of all possible outcomes of an experiment is called _____. {
~Probability
~Event
=Sample Space
~None of these
}

A trial is a ____ in probability. {
=Random experiment
~Certain event
~Non-repeatable event
~None of these
}

The probability of an impossible event is always _____. {
=0
~1
~1/2
~Undefined
}

A sample space for tossing two coins is (HH, HT, TH, TT). The probability of getting two heads is _____. {
=1/4
~1/2
~3/4
~1
}

The group of all possible outcomes of an experiment is called _____. {
=Sample Space
~Trial
~Outcome
~Probability
}

The probability of an impossible event is always _____. {
=0
~1
~1/2
~Undefined
}

The set of favourable outcomes is called _____. {
~Probability
~Outcome Space
=Event
~Sample Space
}

Probability always lies between ____ and ____. {
=0 and 1
~-1 and 1
~1 and 10
~0 and 2
}

The rolling of a dice is called a(n) _____. {
~Event
~Sample
=Trial
~Probability
}

//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=Sample space for rolling a die -> (1, 2, 3, 4, 5, 6)
=Probability of getting a tail -> 0.5
=Probability of an impossible event -> 0
=Event -> Favourable outcomes
=Sample space -> Set of all possible outcomes
}



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