Download Probability

Do Now

1.
2.
3.
4.
5.
Simplify each fraction and change it to
a decimal.
5
10
9
12
4
6
6
10
4
12
Introduction to Probability
Objective: find the probability of an event
Homework:
Probability Worksheet
Probability

Probability is the likelihood of an event to occur:
P(A)
Experiment is the controlled and/or repeatable
process
 Event is a set of possible outcomes resulting
from an experiment
 Outcome is a single specific possible result of an
experiment
Examples: Tossing a coin –
Heads, Tails
Rolling a six sided die- 1, 2, 3, 4, 5, 6

Probability

Theoretical probability that event A will occur:
P(A) =
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# 𝑜𝑓 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠 𝑖𝑛 𝑎𝑛 𝑒𝑣𝑒𝑛𝑡 𝐴
𝑡𝑜𝑡𝑎𝑙 # 𝑜𝑓 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠
When an experiment is performed, the
experimental probability of an event A is:
P(A) =
# 𝑜𝑓 𝑡𝑟𝑖𝑎𝑙𝑠 𝑤ℎ𝑒𝑟𝑒 𝐴 𝑜𝑐𝑐𝑢𝑟𝑠
𝑡𝑜𝑡𝑎𝑙 # 𝑜𝑓 𝑡𝑟𝑖𝑎𝑙𝑠
Find the probability of selecting the
following number from the numbers 1 – 50.
1.) an even number
2.) a perfect square
3.) a factor of 50
Find the probability of selecting the
following number from the numbers 1 – 50.
4.) a prime number
5.) a multiple of 4
You randomly choose a marble from a bag of
10 black, 8 red, 4 white, & 6 blue. Find the
probability of choosing the given marble.
1.) choosing white
2.) against choosing red
You randomly choose a marble from a bag of
10 black, 8 red, 4 white, & 6 blue. Find the
probability of choosing the given marble.
3.) choosing blue
4.) against choosing black
Do Now:
The results of rolling a 6-sided die is shown.
Find the experimental and theoretical
probability.
Roll
1
2
3
4
5
6
# of occurrances 27
22
18
26
27
30
1.) rolling a 5
2.) rolling an even #
The results of rolling a 6-sided die is
shown. Find the experimental and
theoretical probability.
Roll
1
2
3
4
5
6
# of occurrances 27
22
18
26
27
30
3.) rolling a # less than 5
4.) rolling any # but a 3
Day 2: Probability
Objective: Find the probability of an
event to occur
Homework: p811, #10-18
How many of each of the following can be
found in a standard deck of cards?
1.
Hearts
7.
Total in Deck
2.
Spades
8.
Red Cards
3.
Clubs
9.
Black Cards
4.
Diamonds
5.
Number Cards
6.
Suits
A card is randomly selected from a standard
52-card deck. Find the probability of
drawing the given card.
1.) the king of diamonds
2.) a spade
3.) a 4
A card is randomly selected from a standard
52-card deck. Find the probability of
drawing the given card.
4.) a king
5.) a red card
6.) a face card
Probability of Compound Events
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The union or intersection of two events is
called a compound event.
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“or” : add
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“and” : multiply
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You must subtract repeated events
A card is randomly drawn from a standard
deck of 52 cards. Find the probability of
drawing the indicated card.
1.) A heart or a diamond
2.) A spade or an even card
A card is randomly drawn from a standard
deck of 52 cards. Find the probability of
drawing the indicated card.
3.) A 6 or a 7
4.) An ace or a spade
You randomly choose a marble from a bag of
10 black, 8 red, 4 white, & 6 blue. Find the
probability of choosing the given marble.
5.) choosing blue or black
6.) choosing red or white