Random Experiments and Events
Math ⇒ Statistics and Probability
Random Experiments and Events starts at 8 and continues till grade 12.
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See sample questions for grade 12
Define a random experiment and give one example.
Describe the difference between an experiment and an event in probability theory.
Describe the difference between mutually exclusive and exhaustive events.
Explain the difference between a simple event and a compound event with examples.
A bag contains 3 red balls and 2 blue balls. If one ball is drawn at random, what is the sample space?
A box contains 5 white balls and 3 black balls. If one ball is drawn at random, what is the probability that it is black?
A die is rolled. What is the probability of getting a number less than 5?
If a card is drawn from a standard deck, what is the probability of getting a king?
Which of the following is a compound event? (1) Getting a head when tossing a coin (2) Getting an even number when rolling a die (3) Getting a 3 when rolling a die (4) Getting a tail when tossing a coin
Which of the following is a random experiment? (1) Tossing a coin (2) Measuring the height of a fixed object (3) Rolling a die (4) Counting the number of days in a week
Which of the following is an elementary event when tossing two coins? (1) Getting at least one head (2) Getting two tails (3) Getting one head and one tail (4) Getting at most one head
Which of the following is an example of a simple event when rolling a standard die? (1) Getting an even number (2) Getting a number less than 4 (3) Getting a 5 (4) Getting a prime number
Fill in the blank: An event that contains all possible outcomes of a random experiment is called a(n) __________ event.
Fill in the blank: The event that contains no outcome is called the __________ event.
Fill in the blank: The probability of a sure event is __________.
Fill in the blank: The probability of any event E satisfies 0 ≤ P(E) ≤ __________.
State whether the following is an event or not: Getting a number greater than 6 when rolling a standard die.
State whether the following is true or false: The sample space for tossing two different coins is {HH, HT, TH, TT}.
State whether the following is true or false: The sum of probabilities of all elementary events of a random experiment is 1.
State whether the following statement is true or false: The occurrence of one event affects the occurrence of another in independent events.
