Theoretical v.s. Experimental
Define Experimental Probability
Experimental Probability follows the results of real events that we achieve through trials.
At least 5 on a 6-sided die roll gives us what sample space?
{5,6}
When I see the word "OR" used between two probabilities, I will ________ in my calculations
ADD
I know that I am dealing with a Conditional Probability when I see the word _______.
GIVEN
You roll a single die, how many events are in the sample space?
6 {1,2, 3, 4, 5, 6}
Define Theoretical Probability
Theoretical Probability is what we are expected to achieve in our trials based off our mathematical calculations.
At most 4 on a 6-sided die roll gives us what sample space?
{1,2,3,4}
When I see the word "AND" used between two probabilities, I will ________ in my calculations
MULTIPLY
What is the probability of rolling a 5 on a 6-sided die given that I only roll odds?
1/3
You pick a card from a standard deck, how large is the sample space?
52
I randomly pick a skittle from a bag and record how many times I get each color. Afterwards I divide those counts by the number of times I randomly picked from the bag. What kind of probability did I calculate?
Experimental
At least 5 periods on a UHS schedule gives us what sample space?
{5 periods, 6 periods, 7 periods}
What is the probability of selecting a heart card or a king? Answer as a fraction.
16/52
What is the probability of drawing an ace from a deck given that I draw a red card
2/26 or 1/13 or .077 or 7.7%
You roll two dice and take their sum, how large is the sample space?
36
I found the sample space of all possible outcomes of rolling an n-sided die, then n/sample space size. What kind of probability is this?
Theoretical
At most 1 on the sum of two dice rolls gives us what sample space?
{} No/empty sample space
What is the probability of drawing a club and then a spade in a 52-card deck?
1/169
What is the probability that I draw a 3 given that I only draw face cards?
0
You flip a coin and then roll a 12 sided die, how large is the sample space?
12
What are the similarities and differences of experimental and theoretical probabilities?
Distributions of both should have the same shape, and probabilities may differ but only slightly, especially when the number of trials is high
At least $5 in my bank account. What large is my sample space and what is my sample space?
{$5, $6, $7, $8....} INFINITELY large
A card is drawn from a standard deck and a letter is chosen from the word AUTOMOBILE. What is the probability of drawing an ace then getting a vowel? Answer must be in percentage form, rounded to the tenth.
4.6%
What is the probability that I roll a sum of 8 with two 6-sided die given that I do NOT roll doubles?
4/30 or 2/15 or .133 or 13.3%
You select from a stack of cards that only include the clubs, then you choose a random card from a standard deck, then you roll a 6-sided die. How large is the sample space?
4,056