Unit #5 ~ Probability


Unit #5 Review Sheet Answers:

Simple Probability

P(red) = 1/3             P(yellow) = 0            P(blue or green) = 2/3

P(not blue) = 13/15        P(green) = 8/15        P(green, blue, or red) = 1

 

Predictions Made from Simple Probabilities

I would expect 189 of the 350 shoppers to use the online customer service to track packages.

I would expect Cleveland to make about 37 errors when typing a 550-word essay.

 

Tree Diagrams

Total number of possible outcomes - 24

(strawberry, small)        (strawberry, medium)        (strawberry, large)        (strawberry, jumbo)

(banana, small)           (banana, medium)        (banana, large)        (banana, jumbo)

(pineapple, small)        (pineapple, medium)        (pineapple, large)        (pineapple, jumbo)

(raspberry, small)        (raspberry, medium)        (raspberry, large)        (raspberry, jumbo)

(blueberry, small)        (blueberry, medium)        (blueberry, large)        (blueberry, jumbo)

(cherry, small)           (cherry, medium)        (cherry, large)        (cherry, jumbo)

 

Fundamental Counting Principle (FCP)

4 • 5 • 2  =  40 different outfits

10 • 8 • 12  =  960 different deluxe skateboards

 

Independent Probability

P(# ≥ 6, red)      3/8  •  1/5  =  3/40

P(odd #, green)      4/8  •  1/5  =  1/10                        P(4, not purple)      1/8  •  4/5  =  1/10

P(7, orange or yellow)      1/8  •  2/5  =  1/20              P(prime #, orange)      4/8  •  1/5  =  1/10

 

Dependent Probability

P(red, yellow)      4/15  •  5/14  =  2/21                     P(green, green)      6/15  •  5/14  =  1/7

P(green, yellow)      6/15  •  5/14  =  1/7                   P(red, green)      4/15  •  6/14  =  4/35

P(orange, red)      0/15  •  4/14  =  0                        P(not red, not red)      11/15  •  10/14  =  11/21

 

**Odds of an Event**

Odds of selecting a red king from a standard deck of 52 cards is 2:50

Odds of selecting a 4 of diamonds from a standard deck of cards is 1:51

Odds of selecting a heart or an 8 of spades from a deck of 52 cards is 14:38

 

 

Other Available Resources for Review:

Our textbook (www.classzone.com):

The Math Dude (http://www.montgomeryschoolsmd.org/departments/itv/mathdude/):

BrainPOP ~ http://www.brainpop.com/ (Log In ~ Skano, Password ~ Albany)

Virtual rolling of a die ~ www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks1/maths/dice/index.htm

Virtual spinning of a color wheel ~ http://nlvm.usu.edu/en/nav/frames_asid_186_g_1_t_1.html

IXL (http://www.ixl.com/):


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