The desired outcome or set of outcomes.
Event
Determine whether the situation should be described as IMPOSSIBLE, UNLIKELY, AS LIKELY AS NOT, LIKELY or CERTAIN
You flip a coin and it lands on tails.
AS LIKELY AS NOT
There is a 50% chance it is heads
There is a 50% chance it is tails
It is AS LIKELY to land on tails AS it is to NOT
ACTION: Spin the spinner once
What is the sample space for the action?
How many possible outcomes are in the sample space?
Sample Space: 1, 2, 3, 4
Possible Outcomes: 4
Complete the blanks entirely for credit. Each blank is a word.
Experimental Probability is the likelihood that an event will occur based on its relative _________.
(times the event occurs / ________)
Experimental Probability is the likelihood that an event will occur based on its relative FREQUENCY
(times the event occurs / TOTAL)
Based off of your class notes, fill in the blanks to complete the equation for THEORETICAL PROBABILITY.
# of ____ Outcomes / # of possible Outcomes
Theoretical Probability is equal to
# of FAVORABLE Outcomes / # of possible Outcomes
What bird symbolizes America?
Bald Eagle
The set of all possible outcomes
The SAMPLE SPACE is the set of all possible outcomes
Determine whether the situation should be described as IMPOSSIBLE, UNLIKELY, AS LIKELY AS NOT, LIKELY or CERTAIN
The earth will rotate around the sun
CERTAIN
EVENT: Choose a boy
What are the favorable outcomes?
Favorable Outcomes: Chris, Alex, Steve
The table show the results of rolling a number cube 100 times.
What is the RELATIVE FREQUENCY of the event "roll a 2"?
Relative Frequency = 14 times rolling two / 100 rolls
Relative Frequency = 14/100 = 7/50
Relative Frequency = 0.14
Relative Frequency = 14%
P(blue-button)=6/12=1/2
P(blue-button)=0.5
P(blue-button)=50%
What language is the most widely spoken in the entire world?
Chinese (Mandarin)
-The likelihood something is to occur based on logic and reasoning.
-Favorable Outcomes / Possible Outcomes
THEORETICAL PROBABILITY is the likelihood an event will occur.
Favorable Outcomes / Possible Outcomes
Determine whether the situation should be described as IMPOSSIBLE, UNLIKELY, AS LIKELY AS NOT, LIKELY or CERTAIN
A tiger will fly
IMPOSSILBLE
EVENT: Throw a dart and hit an odd number
How many possible favorable outcomes are in the sample space?
Possible favorable outcomes: 10
The table shows the class's results for spinning the spinner 40 times.
Based on these results, if the class were to spin another 40 times, what is the EXPERIMENTAL PROBABILITY of spinning a number less than 3.
P(<3)=22/40
P(<3)=11/20
P(<3)=0.55
P(<3)=55%
Which of the following shows THEORETICAL PROBABILITY?
II. A teacher chooses 1 student at random from a class of 13 boys and 12 girls.
P(boy)=13/25
There are 13 boys - favorable outcomes
There are 25 students - possible outcomes (boys and girls)
What is the most populous city in the United States of America?
New York
Events that cannot happen at the same time and either one or the other must happen.
Complementary Events
Determine whether the situation should be described as IMPOSSIBLE, UNLIKELY, AS LIKELY AS NOT, LIKELY or CERTAIN
Your friend will win the jackpot in the lotteryUNLIKELY
Event: Roll a multiple of 2
What are the favorable outcomes?
Favorable outcomes: 2,4,6
The table shows the results of rolling a number cube 100 times.
Based on the results, write the experimental probability of the event "roll a factor of 2" as a fraction, decimal and percent.
1 and 2 are both factors of 2. We rolled a 1 22-times and a 2 14 times. We rolled a factor of 2 36 times out of the 100 rolls.
P(factor of 2)=36/100
P(factor of 2)=0.36
P(factor of 2)=36%
You choose 1 card at random.
What is the theoretical probability of choosing a card with an odd number and a hand?
P(odd+hand) = 2/8 = 1/4 = 0.25 = 25%
What is the most common letter in English?
E
-The likelihood an event will occur based on its relative frequency
-times the event occurs / total trials
EXPERIMENTAL PROBABILITY describes the likelihood an event will occur based on its relative frequency
-times the event occurs / total trials
Determine whether the situation should be described as IMPOSSIBLE, UNLIKELY, AS LIKELY AS NOT, LIKELY or CERTAIN
Mr. McDonald will eat Taco Bell sometime over the next month.
LIKELY
Event: Choose a heart
How many possible favorable outcomes are in the sample space?
Possible Favorable Outcomes: 13
P(sprinkles) = 6/16 = 3/8
You choose 1 marble at random. What is the theoretical probability that you choose a marble that is not red? Write your answer 3 ways
P(G/B) = 11/20 = 0.45 = 45%
What is the smallest country in the world?
Vatican City