15.7 Probability Day 3
There are
2 nickels, 3 dimes, and 5 quarters
1.) Find the probability of selecting 1
nickel, 1 dime, and 1 quarter in that
order without replacement.
Total = 10
P(N, D, Q) =
2

3
10 9

5
8

30
720

1
24
There are
2 nickels, 3 dimes, and 5 quarters
2.) Find the probability of selecting 1 nickel, 1 dime,
and 1 quarter in any order without replacement.
Total = 10
1
(From #1): P(N, D, Q) 
24
How many ways?
3 coins, arranging 3 = 3! = 6
1
 1 
6
 
4
 24 
There are
2 nickels, 3 dimes, and 5 quarters
3.) Find the probability of selecting 1 nickel, 1 dime,
and 1 quarter in any order WITH replacement.
Total = 10
2 3 5
P(N, D, Q) =  
1 0 10 10

30
1000
Still 6 arrangements:
18
9
 3 

6

50
 100  100

3
100
A red, green, and yellow die are
tossed. Find the probability:
1.) All 3 dice show a six.
P(6, 6, 6) =
I know, it’s
creepy!!

1 1 1
1
  
6 6 6
216
A red, green, and yellow die are
tossed. Find the probability:
2.) The green die shows an
odd number and the other 2
show different even numbers.
Odd #s: 1, 3, 5
Even #s: 2, 4, 6
G R Y
reen
3
6
ed

3
6
there are 3!
there are 3!
ellow
1 1 1
1
  


2 2 3
12
6
2
A red, green, and yellow die are
tossed. Find the probability:
3.) All 3 dice show the same
number.
or
or
or
or
or
111
222
333
444
555
666
1
1 1 1
  
6 6 6 216
Same probability for each
There are 6 ways!
1
 1 
6
 
36
 216 
Standard Deck of Cards
Clubs Hearts Diamonds Spades
(Black) (Red)
(Red)
(Black)
52 cards in the deck
26 black, 26 red
4 suits: hearts, diamonds, clubs, spades
13 of each suit
Homework
#7 12-5 Practice WS