Probability Flashcards
What is the definition of probability?
Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.
True or False: The probability of an impossible event is 1.
False.
Fill in the blank: The sum of the probabilities of all possible outcomes in a probability space is ______.
1.
What is the formula for calculating the probability of an event?
P(A) = Number of favorable outcomes / Total number of possible outcomes.
What is a sample space?
A sample space is the set of all possible outcomes of a probability experiment.
What is the probability of rolling a sum of 7 with two six-sided dice?
There are 6 favorable outcomes, so the probability is 6/36 or 1/6.
Define ‘mutually exclusive events’.
Mutually exclusive events are events that cannot occur at the same time.
Calculate the probability of drawing an Ace from a standard deck of cards.
There are 4 Aces in a deck of 52 cards, so the probability is 4/52 or 1/13.
True or False: The total probability of all outcomes in a probability model must equal 0.
False.
Fill in the blank: In a fair coin toss, the probability of getting heads is ______.
0.5.
What is the probability of rolling a number greater than 4 on a six-sided die?
The probability is 2/6 or 1/3.
True or False: In probability, an event with a probability of 0 is certain to occur.
False.
What is the probability of drawing a red card from a standard deck of cards?
There are 26 red cards in a deck of 52 cards, so the probability is 26/52 or 1/2.