Sample space
what does sample space mean?
all possible outcomes of an experiment
What is theoretical probability?
Theoretical probability is a way to predict what should happen in a perfect world.
Probability = favourable outcomes/ total outcomes
What is experimental probability?
is the probability of an event happening based on actual experiments or trials.
experimental probability = number of times the event has occurred/total number of trials.
what is probability?
is a measure of the likelihood that an even will occur.
what does it mean if an event is likely?
means something that will probably happen but it's not guaranteed.
If you flip a coin what is the sample space?
Heads, Tails
Jan flipped a coin 50 times. What is the probable theoretical probability for flipping tails?
25/50 or 1/2 or 50%
If an event has a probability of 0 what kind of event is it?
what does it mean an event is unlikely?
something probably won't happen but still could.
if something is equally likely as it is unlikely to happen, what is the probability?
50%
If you flip two coins, list all possible outcomes in the sample space.
Head, head
Head, Tail
Tail, Tail
Tail, Head
You have a bag of m&ms. You count them and find you have 6 blue, 5 red, 3 yellow, 1 blue, and 7 brown?
What is the probability you'll pick brown or red from the bag? in fraction and percent
12/22 or 54%
the weather forecast says there's a 25% chance of snow. Is the chance that it will snow, likely, unlikely, or certain?
unlikely
in an experiment, a student flips a coin 100 times and gets 43 heads What is the experimental probability of getting heads?
43/100 or 43%
you roll two standard number cubes, what is the sample space for the sums of the two rolls?
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
a license plate consists of a single letter (A, B, or C) followed by a single digit (1, 2, or 3). What is the sample space?
A, 1
A, 2
A, 3
B, 1
B, 2
B, 3
C, 1
C, 2
C, 3
You randomly pick a month of the year. What is the probability of choosing a month with 31 days?
7/12 (Jan, Mar, May, Jul, Aug, Oct, Dec)
You spin a spinner with 6 equal sections, A, B, C, D, E, F . What is the probability of landing on a letter that comes before D in the alphabet?
A, B, C,
3/6, or 1/2 or 50%
you roll a standard dice what is the probability of rolling a 7?
impossible
You roll a dice 20 times and get a 4 exactly 2 times. What is the experimental probability of rolling a 4?
2/20 or 1/10 or 10%
The Cafeteria offers 3 main courses (pizza, burger, salad) and two drinks (milk, juice). List the same space for choosing one main course and one drink.
Pizza, milk
Pizza, juice
Burger, milk
Burger, juice
Salad, milk
Salad, Juice
You roll a 6 sided dice and flip a coin. How many outcomes are in the total sample space?
Dice outcomes = 6x6 = 36
Coin = 2
Total outcomes 2 x 36 = 72
In a class of 30 students, 18 like pizza, 12 like burgers, and 5 like both. How many students like only pizza or only burgers?
Only pizza = 18 – 5 = 13
Only burgers = 12 – 5 = 7
Total = 13 + 7 = 20 students
You flip a coin and roll a die. What is the probability of getting tails and an even number?
tails = 1/2
even number = 3/6 = 1/2
1/2 x 1/2 = 1/4
A game says you have a “1 in 5 chance of winning!” If you play 10 times, does that guarantee 2 wins? Why or why not?
Theoretical probability doesn’t guarantee specific outcomes in short trials. You might win 0, 1, 2, or more times—it’s not guaranteed.