Decks of Cards
Venn/Expected Value
Compound/Conditional Prob
NPR/NCR
100
Find the probability of choosing a red card from a deck of cards
26/52
100
Find the intersection of both events.
(You can't assume these events are independent)
First add union of both sets and subtract from neither to get whats left for intersection.
.25+.40+.15= .80 Then 1-.80= .20
100
Find P(Bachelors Degree|Man)
P(Both)/ Man Total= 463/1570
100
Marlena must answer 3 out 8 essay questions on her writing quiz. How many ways can she choose three? Is this a NPR, NCR or counting.
Combination or NCR
This is since were making a selection and order does not matter.
200
Find the probability of choosing a Jack from a standard deck of cards?
4/52
200
4 red, 5 yellow, 2 orange, 3 purple marbles.
Orange pays $100, Purple pays $50, Red pays $10, Yellow costs $30 and anything else is $0.
$17.14
200
Find P(Woman|8th grade or less)?
P(Both)/8th grade or less total
= 35/81
200
How many ways can a president, vice president, and treasurer be elected from a group of 40 students? Is this a permutation, combination, or fundamental counting principle?
Permutation
300
Find the probability of choosing a Jack or a Queen or a King from a standard deck of cards?
4/52+4/52+4/52= 12/52
300
Heart wins $20, Jack or Queen or King wins $10, Spade costs $15, and it costs $5 to play the game. Find the expected value.
heart (13/52)*20 +face card (12/52)*10+spade (13/52)*-15+ = becomes 5+-3.75+2.30= $3.55
Then it costs $5.00 to play so 3.55-5.00= -1.45
300
The probability of passing geometry is .52
the probability of passing algebra is .68
Find the probability of failing both classes?
P failing geometry= .48
P failing algebra =.32
So probability of failing both= (.48*.32)=.1536 or 15.4%
300
How many ways can a president, vice president, and treasurer be elected from a group of 40 students?
NPR
40 NPR 3= 59,280.
400
Find the probability of choosing 2 cards from a deck of cards and both are 10?
4/52* 3/51
400
2 blue, 3 green, 5 orange spaces are on a spinner.
Blue pays $5.00, Green pays $2.00 and Orange pays nothing. It costs you a $1.00 to play find the expected value?
.60 cents is the expected value of playing this game on average.
400
A flower store offers thousands of flowers.
P(red rose)=.52 and P(Blue orchid)=.65
Find the probability of (Not Red Rose, Not Blue Orchid)
(P not red rose) = .48
P (not blue orchid)=.35
P (not both)= .48*.35= .17 approximately
400
A standard deck of cards has 52 playing cards.
How many different 5-card hands are possible.
52 NCR 5= 2,598,960
500
Find the probability of choosing 2 cards from a deck of cards (Red, Queen of Spades)
26/52*1/51
500
Choosing a number card costs you $8.00
Choosing a King pays you $25.00
It costs you $4.00 to play find the expected value
-7.62 is the expected value on average.
500
4 snickers, 7 kit kats, 3 reeces, 2 skittles are in a vending machine. Find P(Skittles and Skittles)
(2/16)*(1/15)
500
How many different 3 topping pizzas can be made out of a possible 8 toppings available?
8 NCR 3= 56