Introductory Statistics Lesson 3.1 B Objective: SSBAT find classical probability. Standards:...
Transcript of Introductory Statistics Lesson 3.1 B Objective: SSBAT find classical probability. Standards:...
Introductory Statistics
Lesson 3.1 B
Objective: SSBAT find classical probability.
Standards: M11.E.3.1.1
Review:
Probability
Measures how likely it is for something to occur
A number between 0 and 1
Can be written as a fraction, decimal or percent
Probability equal to 0 Impossible to happen
Probability equal to 1 Will definitely occur
Theoretical (classical) Probability
Used when each outcome in a sample space is Equally likely to occur.
Denoted P(E) where E is the event
Also called Classical Probability
Formula:
P(E) =
Write each Probability as either a Fraction (reduced) or a Decimal.
If writing it as a decimal Round to 3 Decimal Places
Examples:
1. You roll a six-sided die. Find the Probability of rolling a 3.
There is 1 three on the die There are 6 possible outcomes in the Sample Space
P(3) =
or
P(3) ≈ 0.167
2. You roll a six-sided die. Find the Probability of rolling an even number.
Even Numbers on a die: 2, 4, 6 so there are 3 outcomes in the event
There are 6 possible outcomes in Sample Space
P(even) =
P(even) =
or
P(even) = 0.5
3. You roll a six-sided die. Find the Probability of rolling a 7.
There are no 7s on a die
There are 6 possible outcomes in Sample Space
P(7) =
P(7) = 0
4. You roll a six-sided die. Find the Probability of rolling a number less than 5.
4, 3, 2, 1 therefore there are 4 numbers < 5
There are 6 possible outcomes in Sample Space
P(# less than 5) =
P(# less than 5) =
P(# less than 5) = 0.667
5. You roll a six-sided die. Find the Probability of rolling a number greater than 0.
There are 6 numbers greater than 0 on a die
There are 6 possible outcomes in Sample Space
P(# greater than 0) =
P(# greater than 0) = 1
Standard Deck of Playing Cards52 Total Cards – 13 of each suit
Red
Red
Black
Black
6. You select a card from a standard deck. Find the Probability of selecting a Seven.
There are 4 sevens in the deck
There are 52 possible outcomes in the Sample Space
P(7) =
P(7) =
or
P(7) ≈ 0.077
7. You select a card from a standard deck. Find the Probability of selecting a Diamond.
There are 13 diamonds in the deck
There are 52 possible outcomes in the Sample Space
P(diamond) =
P(diamond) =
or
P(diamond) = 0.25
8. You select a card from a standard deck. Find the Probability of selecting a face card (K, Q, J).
There are 12 face cards in the deck
There are 52 total cards
P(face card) =
P(face card) =
or
P(face card) ≈ 0.231
9. You select a card from a standard deck. Find the Probability of selecting a Red card.
There are 26 Red cards in the deck
There are 52 total cards
P(Red) =
P(Red) =
or
P(Red) = 0.5
10. You select a card from a standard deck. Find the Probability of selecting a Diamond or a 10.
P(Diamond or 10) =
P(Diamond or 10) =
11. You select a card from a standard deck. Find the Probability of selecting a 2, 4, 6, 8, or 10.
P(2,4,6,8,10) =
P(2,4,6,8,10) = or 0.385
Insect Probability Activity
- Break students into groups- Give each group a bag of plastic insects- Give each student WS 3.1 Insect Activity
- Have students complete worksheet
On Your Own.
Use the spinner to the right to answer. Find the probability of spinning each.
a) Probability of an Odd Number
b) Probability of a number less than 6
c) Probability of a 5 or 8
Homework
Worksheet 3.1 B