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

//Multiple Choice

The probability of getting a tail when tossing a coin once is\: {
~0.25
=0.5
~0.75
~1
}

Which of the following is a sure event? {
~Probability \= 0.5
~Probability \= 0
=Probability \= 1
~Probability \= -1
}

What is the probability of drawing a queen from a standard deck of 52 cards? {
~1/26
=1/13
~1/52
~1/4
}

The probability of getting an even number when rolling a die is\: {
=1/2
~1/3
~1/6
~2/3
}

In a bag of 7 red, 5 blue, and 8 green balls, the probability of randomly selecting a red ball is\: {
=7/20
~7/15
~1/3
~3/4
}

Which of the following is the total of all probabilities for a random event? {
~0
~0.5
=1
~Cannot be determined
}

A bag contains only blue and red balls. If the probability of selecting a blue ball is 0.4, what is the probability of selecting a red ball? {
~0.5
=0.6
~0.3
~0.4
}

A random experiment is defined as\: {
~A process that always produces the same result
~A process that has a fixed outcome
=A process with multiple possible outcomes
~None of the above
}

A die is thrown once. What is the probability of getting a prime number? {
=1/2
~2/3
~1/3
~1/6
}

Which of the following outcomes is impossible? {
=Probability \= 0
~Probability \= 1
~Probability \= 0.25
~Probability \= 0.75
}

//True or False

The probability of any event is always between 0 and 1. {T}

The sum of probabilities of all outcomes in a random experiment is always 1. {T}

The probability of drawing a red ball from a bag containing only blue and green balls is 1. {F}

If the probability of an event is 0, it is an impossible event. {T}

The probability of getting an odd number when rolling a die is greater than getting an even number. {F}

Experimental probability is based on theoretical assumptions. {F}

Probability can be negative. {F}

Theoretical probability is calculated using past data. {F}

Complementary events have probabilities that add up to 1. {T}

Drawing a card from a shuffled deck is a random experiment. {T}

//Numericals

A bag contains 6 green, 3 yellow, and 1 red ball. What is the probability of drawing a green ball? {
~1/10
~1/2
=3/5
~3/10
}

A die is rolled once. What is the probability of getting a number less than 3? {
=1/3
~1/2
~1/6
~2/3
}

A die is thrown 300 times, and the number 5 comes up 45 times. What is the experimental probability of getting a 5? {
=0.15
~0.45
~0.3
~0.2
}

A coin is flipped 500 times, and heads appear 260 times. What is the experimental probability of getting heads? {
=0.52
~0.5
~0.48
~0.6
}

A card is drawn from a standard deck of 52 cards. What is the probability of drawing a red card? {
~1/4
=1/2
~3/4
~1
}

//Fill in the blanks

The probability of drawing an ace from a deck of 52 cards is ___. {
~1/52
=1/13
~1/4
~1/2
}

Theoretical probability is calculated using the formula ___. {
~Number of trials/Total trials
=Favourable outcomes/Total outcomes
~1 - Probability of E
~None of the above
}

The sum of probabilities of all outcomes in a random experiment is ___. {
~0
=1
~0.5
~None of the above
}

In a single coin toss, the probability of getting a head is ___. {
~0
~0.25
=0.5
~1
}

If the probability of an event is 0.7, the probability of its complementary event is ___. {
~0.7
=0.3
~0.5
~1
}

If a die is thrown, the probability of getting a number less than 5 is ___. {
=2/3
~1/3
~1/2
~5/6
}

When the probability of an event is 1, the event is called ___. {
~Impossible event
=Sure event
~Complementary event
~Random event
}

If a die is rolled once, the probability of getting a number greater than 2 is ___. {
~1/3
~1/2
=2/3
~1/6
}

If a spinner is divided into 4 equal sections, the probability of landing on any one section is ___. {
=1/4
~1/2
~3/4
~1
}

The probability of an event that cannot happen is ___. {
=0
~1
~0.5
~Undefined
}

//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=Sure event -> Probability \= 1
=Impossible event -> Probability \= 0
=Complementary event -> P(E) + P(E') \= 1
=Theoretical probability -> Based on assumptions
=Experimental probability -> Based on repeated trials
}



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