Probability Events
Conditional Probability
Experiment or Theory
See the board
Tables
100
How do you determine the total number of possibilities in probability?
By multiplying the number of options for each stage.
100
Define conditional probability in your own words.
Conditional probability is the likelihood of an event occurring given that another event has already occurred.
100
What happens to the experimental probabilities as the size of the sample grows.
The Law of Large Numbers states that as the number of trials in a probability experiment increases, the experimental probability approaches the theoretical probability.
100
P(A) as fraction
231/410
100
The table shows the results from a survey that asked 100 adults if they had a high school diploma and if their annual income was more than $30,000.
What is the probability that the person has no high school diploma and earns more than $30,000?
As fraction
2/100
200
Explain how compound events differ from simple events in probability.
Compound events involve multiple outcomes or stages, while simple events involve only one outcome or stage.
200
Calculate the conditional probability of drawing a queen from a deck of cards given that the card drawn is a face card.
The probability is 1/3 since there is 1 queen out of 3 face cards.
200
If you toss a fair coin 100 times, what would you expect the ratio of heads to tails to be?
Close to 1:1
200
P(B) as fraction
95/410
200
Select all of the words for which the probability of selecting the letter A at random is 1/4
A: Area
B: Acid
C: Angry
D: Appeased
E: aardvark
B, D
300
Calculate the probability of rolling a dice and getting a prime number.
1/2
300
Each of the letters A-F are written on slips of paper & placed in a hat. Turner selects a slip of paper at random and then replaces it. Jonah then selects a slip of paper at random.
What is the probability that both Turner and Jonah select a paper labeled A?
1/36
300
Explain the concept of independent events in probability.
Independent events are events where the occurrence of one event does not affect the probability of the other event occurring.
300
P(A and B) as fraction
44/410
300
What percentage of the eggs that were at the cool temperature hatched?
about 24%
400
If you flip a coin three times, what is the probability of getting exactly two heads?
The probability is 3/8 or 0.375.
400
A box contains 3 white and 2 black balls. If one ball is drawn randomly, what is the probability that it is white given that the second ball drawn is black?
The probability is 3/5.
400
P(given medicine | symptoms persist) as a percent
0.38
400
P(A|B) as fraction
44/95
400
On an assignment, there are two multiple choice questions with four answers choices each. You have no idea what the correct answer is to either one so you guess.
What is the probability that you get both of them right by guessing?
1/16
500
A bag contains 6 red, 4 blue, and 5 green marbles. What is the probability of drawing a red marble on the first draw and a blue marble on the second draw?
The probability is (6/15) * (4/14) = 4/35.
500
If the probability of rain is 0.3 on a given day, and the probability of traffic congestion is 0.6 on a rainy day, calculate the probability of having traffic congestion on that day.
The probability is 0.18.
500
P(Rh+|O)
NOTE: % are out of the total
0.85
500
Determine if the two events are dependent or independent. Show or explain your reasoning.
Not independent
500
On an assignment, there are two multiple choice questions with four answers choices each. You have no idea what the correct answer is to either one so you guess.
What is the probability that you get exactly one of them right by guessing? Fraction
6/16