P Probability - Introduction to

Probability is how likely something is to happen.  All

probability must fall from zero to one or from zero to

100%.  Probability can be expressed as a fraction,

decimal, or percent.  An impossible event has a

probability of zero.  A certain event has a probability of

one or 100%.

 

The smallest probability is         .

 

The largest probability is          or 100%.

 

Spell out both answers.
 
 
 
 
 
 
 
 
 
 

Use the table to find the probability of each event.

 

Outcome         A          B            C          D            E

 

Probability     0.25      0          0.15      0.2          0.4

   

P(A or E) = 0

Note:  Do not include a zero before  the decimal or

add extra zeros to the right end.

 
 
 
 
 
 
 
 
 
 

Note:  Do not include a zero before  the decimal or

add extra zeros to the right end.

Use the table to find the probability of each event.

 

Outcome         A          B            C          D            E

 

Probability     0.25      0          0.15      0.2          0.4

   

P(not C) = 0

 
 
 
 
 
 
 
 
 
 

Note:  Do not include a zero before  the decimal or

add extra zeros to the right end.

Use the table to find the probability of each event.

 

Outcome         A          B            C          D            E

 

Probability     0.25      0          0.15      0.2          0.4

   

P(A, B, or C) = 0

 

A game spinner is spun 200 times and the results

were 150 spins for maroon and 50 for black. 

 

What is the experimental probability of black in

decimal, simplified fraction, and percent form?

 

 

0                                                       %

  
 

A bag of jolly ranchers has 4 green, 6 red, 9 purple, and

only one blue.  What is the probability for randomly

selecting a blue jolly rancher?  Give the answer in

decimal, simplified fraction, and percent form.

 

 

0                                                                          %

 

An experiment consists of rolling a fair number cube.

Find the probability of each event.

 

 

 

 

 

 

 

 

Note:  Simplify all fractions.

P (1) =
 

An experiment consists of rolling a fair number cube.

Find the probability of each event.

 

 

 

 

 

 

 

NOTE:  Simplify all fractions.

P (< 5) =

An experiment consists of rolling a fair number cube.

Find the probability of each event.

 

 

 

 

 

 

 

NOTE:  Simplify all fractions.

P (< 7) =
 

An experiment consists of rolling a fair number cube.

Find the probability of each event.

 

 

 

 

 

 

 

NOTE:  Simplify all fractions.

P (2 or 3) =

An experiment consists of rolling a fair number cube.

Find the probability of each event.

 

 

 

 

 

 

 

NOTE:  Simplify all fractions.

P (< 0) =
 

The probability for all independent events can be

calculated by multiplying their individual probabilities.

For example:  The probability for getting heads when

flipping a fair coin is ½.  So the probability for getting

heads on both when flipping two fair coins is ½ • ½ or ¼. 

The probability for getting heads when flipping three fair

coins would be ½•½•½ = ⅛.  What would the probability

of getting all heads when flipping four fair coins?

On independent events the second  part of the experi-

ment does not influence the first part.  An example

would be flipping two coins.  The second has no

control over the first coin and vice versa.  To find the

probability of both events, multiply their individual

probabilities.

 

On dependent events the second event is limited by the

outcome of the first event.  An example would be if you

finish your supper, you may have dessert.  To find the

probability for these, the second MUST be adjusted for

the first event.

State if the following is an example of independent or

dependent events.

 

You spin a spinner and then roll a die.

independent events
dependent events

State if the following is an example of independent or

dependent events.

 

You get your turn and get to roll again if you roll 2.

independent events
dependent events

State if the following is an example of independent or

dependent events.

 

If you roll doubles on a pair of dice, you get to roll

again.

independent events
dependent events

State if the following is an example of independent or

dependent events.

 

You spin a spinner and then flip a coin.

independent events
dependent events

A bag of marbles has 4 red, 3 green,  1 clear, and  2

yellow.  How many outcomes are there?

 

What is the sample space? 

red, green, clear, and

 

If a marble is drawn and not replaced.  How

many marbles are left in the bag?

 

 

This a                           event.

independent
dependent
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