A bag contains 5 red balls and 3 blue balls. What is the probability of drawing a red ball, then another red ball without replacement?
25/64
5/14
9/64
5/8
A fair six-sided die is rolled. What is the expected value of the roll?
3.5
4
2.5
3
You are playing a game where you roll a die until you get a 6. What is the probability that you will roll the die exactly 4 times before winning?
(5/6)^3 * (1/6)
(1/6)^3 * (5/6)
(1/6)^4
(5/6)^4 * (1/6)
Which field heavily utilizes probability to analyze and make predictions from data?
Data Science
Philosophy
History
Literature
What does the Probability Density Function (PDF) represent for a continuous random variable?
The cumulative probability of the variable up to a given value.
A measure of the spread or variability of the variable.
The relative likelihood of the variable falling within a particular range.
The probability of the variable taking on a specific value.
A company produces light bulbs, and 2% are defective. What is the probability that in a sample of 10 bulbs, exactly one is defective?
0.984
0.167
0.016
0.833
A random variable X follows a uniform distribution between 0 and 10. What is the probability that X is less than 3?
0.7
0.1
0.2
0.3
What is the variance of a standard normal distribution (mean = 0, standard deviation = 1)?
0.5
2
0
1
What does the complement rule in probability state?
The probability of an event is always 1.
The probability of an event not happening is 1 minus the probability of it happening.
The probability of two events happening is the sum of their individual probabilities.
The probability of an event happening is equal to the probability of it not happening.
If the variance of a random variable X is 9, what is the standard deviation of X?
9
81
6