Venn Diagrams
Tree Diagrams
Miscelaneous
Two way tables
Theoretical Probability
100
How many people are in this survey?
50 people
100
Probability red, then blue
3/4 * 1/4 = 3/16
3/16 or 0.1875
100
How many outcomes are there when 3 coins are tossed simultaneously?
2*2*2 = 8 outcomes
100
How many total Dogs?
40
100
A bag contains 10 red marbles, 8 blue marbles and 2 yellow marbles. Find the theoretical probability of getting a blue marble.
8/20 = 2/5 = 0.4 or 40%
200
P(Internet)
9 + 26 = 35
35/50 = 0.70
200
Create a tree diagram of tossing two coins simultaneously.
200
A "standard" deck of playing cards consists of 52 Cards in each of the 4 suits of Spades, Hearts, Diamonds, and Clubs.
Each suit contains 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.
Calculate the probability of drawing one ace.
P(1 ace) = 4 /52 = 1/13 = 0.0769 = 7.69%
200
Find the p(cat only)
25/100 or 1/4
200
What is the theoretical probability of rolling an even number in a fair die?
3/6 = 1/2 = 0.5= 50%
300
Draw a Venn diagram to describe the following.
Suppose that 530 students play soccer, 290 students play basketball, and 130 students play both sports. There are a total of 1500 students at the school.
Just soccer - 400
Intersection - 130
Just basketball - 160
Neither sport - 810
300
Find the probability of being on time for both classes.
0.7 * 0.7 = 0.49
300
A restaurant offers 2 starters, 3 main courses, and 3 desserts.
How many different meals can be chosen using these options?
2 * 3 * 3 = 18 different meals
300
P(Football and Female)
13/100= 0.13= 13%
300
Show the sample space when rolling a six-sided die and a coin
1, H 1, T
2, H 2, T
3, H 3, T
4, H 4, T
5, H 5, T
6, H 6, T
400
P(Cats)
10 + 10 + 6 + 2 = 28
28 + 9 + 2 + 1 = 40
28/40 = 0.7 or 70%
400
Probability of throwing a strike.
0.7 * 0.6 + 0.3 * 0.2
0.42 + 0.06
0.48
400
Of a group of 5 students, two will be selected at random for a school trip by picking names out of a hat. The five students are Romualdo, Casimiro, Apolonia, Marbel and Zoila.
How many outcomes are possible?
5*4 = 20
= 20 combinations are possible possible
400
P(Baseball or Football)
P(Baseball or Football)= (33+36)/100 = 69/100 = 0.69 = 69%
400
Calculate the probability of getting two 4s when you roll two 4-sided dice.
P(4,4)= 1/16 = 0.0625 = 6.25%
500
In a survey of university students, 64 had taken mathematics course, 94 had taken chemistry course, 58 had taken physics course, 28 had taken mathematics and physics, 26 had taken mathematics and chemistry, 22 had taken chemistry and physics courses, and 14 had taken all the three courses. Find how many take only math.
28 - 14 = 14
64 - 14 - 14 - 12 = 24 students
500
P(Win at least one match)
Win both: 0.7 * 0.8 = 0.56
Win, then lose: 0.7 * 0.2 = 0.14
Lose, then win: 0.3 * 0.5 = 0.15
0.56 + 0.14 + 0.15 = 0.85 or 85%
500
Of a group of 5 students, two will be selected at random for a school trip by picking names out of a hat. The five students are Romualdo, Casimiro, Apolonia, Marbel and Zoila.
How many outcomes are possible?
How many of them are different?
5*4 = 20 combinations are possible possible
There are 10 different combinations.
500
P(Baseball/Male) = Prob Baseball given that is Male
(round to 2 DP)
P(Baseball/Male)= 13/48 = 0.27 = 27%
500
Show the sample space of the sum of two dice. Then, calculate the probability of getting 7.
A/B 1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12
P (6) = 6/36 = 1/6 = 0.167 = 16.7%