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%