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What is a dependent event in probability?
When the outcome of the first event influences the outcome of the second event.
What is an independent event in probability?
If the occurrence of one event does not affect the chances of the occurrence of the other event
In a standard deck of 52 cards, what's the chance of drawing a queen of hearts?
1/52
In a standard deck of 52 cards, what's the chance of drawing a red king?
1/26
You roll a six sided die, what is the probability you roll a number that is less than a four?
3/6
In a standard 52-card deck of cards, what is the probability of drawing a club on your first draw?
1/4
Give an example of an independent event
Answers can vary
Give an example of a dependant event
Answers can vary
If a die is thrown what is the probability that it will land with a 4 or a 6 facing up?
2/3
An event with a probability of 1 means what?
An event with the probability of 1 means that it will happen.
What is Conditional Probability?
The probability of an event ( A ), given that another ( B ) has already occurred.
Give an example of Conditional Probability
Conditional probability: p(A|B) is the probability of event A occurring, given that event B occurs.
For example, given that you drew a red card, what's the probability that it's a four?
A card is drawn at random from a well-shuffled pack of cards numbered 1 to 20. Find the probability of getting a number divisible by 3.
3/10
If the papers of 4 students can be checked by any one of the 7 teachers, then the probability that all the 4 papers are checked by exactly 2 teachers is what?
6/49, or roughly 12%.
If the events have the same theoretical probability of happening, then they are called what?
Equally likely events.
What makes an event a “compound event?”
Finding the probability of more than one event occurring at the same time
Explain Compound probability
Compound Probability describes the chances of more than one separate event occurring, for example, flipping heads on a coin and pulling a 7 from a standard deck of cards.
Define relative frequency
Relative frequency is the number of times an event happens divided by the total number of outcomes that took place in an experiment, known as the number of trials.
A fair coin is tossed 4 times.
Each time it lands heads up.
When it is tossed a fifth time, the probability that it will land heads up is what?
50/50, flips are independent.
Two fair dice are rolled. What is the probability that their sum is greater than four?
5/6
What is the difference between combinations and permutations?
A permutation is a method of arranging all the members in order. The combination is selection of elements from a collection.
In a standard 52-card deck of cards, what is the probability of drawing two clubs on your first two draws?
0.0588 Percent
A ball is drawn from a bag containing 7 red, 3 white, and 6 blue balls.
The probability that it is a red ball is what?
35% or 7/20.
Define Correlation in regard to probability.
The correlation between two variables x and y is a measure of how closely related they are, or how linearly related they are. Correlation is the measure of the extent to which a change in one random variable tends to correspond to change in the other random variable. For example, height and weight have a moderately strong positive correlation.
A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability that the drawn card is neither a king nor a queen.
11/13, or roughly 85%.