complete solution 2025
what is probability? - correct answer - how likely an event will happen, given
the conditions present
what was the formal study of probability initially used for? - correct answer
gambling
who conducted study on probabilities in gambling? - correct answer Emperor
Claudius: "On the Art of Dice"
10BC-54AD
who posed "The Problem of the Dice"? - correct answer - 1654; Chevalier de
Mere
what was Chevalier de Mere's favorite bet? - correct answer one 6 in four rolls
of a die (won more often than loss)
- single roll: 1/6 chance of rolling a 6
- four rolls: 4x1/6 = 2/3 (favorable odds)
what was Chevalier de Mere's new bet? - correct answer one double-six in 24
rolls of 2 dice (lost more than won)
who do we ask to understand the Problem of the Dice? - correct answer
Blaise Pascal
, who was Blaise Pascal - correct answer - he shared "De Mere's Paradox with
Pierre Fermat
- from there created Theory of Probability
what is a random process? - correct answer a situation in which you know
what outcomes could happen but we don't know which specific outcomes will
happen
the degree to which a process is random is based on what? - correct answer
how you define it.
example of degree of randomness - correct answer how many cups of coffee
will you drink tomorrow?
you; this is a product of my free will
researcher; this is a random process related to the participants hours of sleep;
dopamine levels in brain; habitual coffee consumption; whether they have an
exam or assignment due that day, etc.
how do we represent probability? (5) - correct answer - random experiments
- random variables
- elementary outcomes
- sample space
- probability (numerical)
what is a random experiment? - correct answer - the process of observing the
outcome of a single chance event