Dice
What is the probability of getting at least one six in a single throw of three unbiased diced?
A. 1/6
B. 125/216
C. 81/216
D. 91/216
D. 91/216
You randomly draw a marble from a bag of marbles that contain 6 blue marbles, 3 green marbles, and 1 red marble.
Determine p(not draw a green marble) write in both fraction and percent form.
P(not draw a green marble)= 3/10 , 30%
We are given the following sets:
A={1,2,3,4,5,6,7,8,9}
B={1,2,3,6,8}
C={1,2,3,4,5}
D={1,8,6}
Identify two subsets
D⊆A
D⊆B
Find the following set
U={1,2,3,4,5,6,7,8,9}
A={1,2,3,4}
B={2,3,4}
C={1,5}
Detremine AUC
AUC={1,2,3,5}
probability
the measure of the likelihood that an event will occur in a Random Experiment.
A die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head.
S = { (1,H),(2,H),(3,H),(4,H),(5,H),(6,H)
(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)}
You randomly draw a marble from a bag of marbles that contain 15 yellow marbles, 7 pink marbles, 2 blue marbles.
Determine p(not draw a pink marble) Write the fraction
P(not draw a pink marble)= 17/24
We are given the following sets:
A={1,8,6}
B={1,2,3,6,8}
C={1,2,3,4,5,6,7,8,9}
Identify two subsets
A⊆B
A⊆D
Find the following set
U={1,2,3,4,5,6,7,8,9}
A={1,2,3,4}
B={2,3,4}
C={1,5}
Determine A' u B n C'
A' u B n C'= {2,3,4,6}
two sets are the set of elements that belong to one or both sets.
Union
A jar contains 3 red marbles, 7 green marbles and 10 white marbles. If a marble is drawn from the jar at random, what is the probability that this marble is white?
red 3
green 7
white 10
P(E) = Frequency for white color / Total frequencies in the above table
= 10 / 20 = 1 / 2
You randomly draw a marble from a bag of marbles that contains 12 red marbles, 7 orange marbles, 6 purple marbles.
Determine p(not draw an orange marble) write both the fraction and percentage
P(not draw an orange marble)= 18 /25 75%
u{1,2,3,4,5,6,7,8}
A{1,2,3,4}
B{3,4,5}
C{4,5,6,8}
D{2,3,4,6}
A⊆B
B⊆ D
Find the following set
U={1,2,3,4,5,6,7,8,9}
A={1,2,3,4}
B={2,3,4}
C={1,5}
Determine B n C
B n C={1,2,3,5}
two sets are the set of elements that belong to both sets.
intersection
If I roll a six-sided die, what're the chances of you guessing the correct number it landed on?
Given a six-sided die the chances of you guessing 1 of those 6 different numbers {1,2,3,4,5,6} is 1 out of 6 or 1/6.
Answer: 1/6
You randomly draw a marble from a bag of marbles that contains 67 yellow marbles, 17 green marbles, 8 blue marbles.
Determine p(not draw a green marble) write the fraction.
P(not draw a green marble)= 75/92
We are given the following sets:
A{1,3,5}
B{1,2,3,4,5}
C{1,2,3,4,5}
A⊆B
A⊆C
B⊆C
C⊆B
Find the following set
U={1,2,3,4,5,6,7,8,9}
A={1,2,3,4}
B={2,3,4}
C={1,5}
Determine A n C
A n C= {1}
subset
For any two sets A and B, if each and every element of the set A is an element of the set B, then A is the subset of B.
What is the probability of rolling two dice and getting at least one odd number?
P(roll an even value) = 3/6 = 1/2
P(roll an odd value) = 3/6 = 1/2
Let’s take a look at some of the possible rolls
P(roll an even value) and P(roll an odd value) = (1/2) (1/2) = 1/4
P(roll an odd value)and P(roll an even value) = (1/2) (1/2) = 1/4
P(roll an odd value) and P(roll an odd value) = (1/2) (1/2) = 1/4
P(roll an even value) and P(roll an even value) = (1/2) (1/2) = 1/4
Answer: 3/4
You randomly draw a marble from a bag of marbles that contains 17 red marbles, 4 yellow marbles, 5 black marbles.
Determine P(not draw black marbles) write the fraction and percentage
P(not draw a black marble)=21/26 81%
NNNH
||||||||||
A{1,8,6}
B{1,2,3,6,8}
C{1,2,3,4,5}
D{1,2,3,4,5,6,7,8,9}
A⊆B
B⊆D
A⊆D
C⊆D
Find the following set
U={1,2,3,4,5,6,7,8,9}
A={1,2,3,4}
B={2,3,4}
C={1,5}
Determine B n C
B n C= {0}
superset
set A is a subset of a set B, or equivalently B is a superset of A, if A is contained in B.