warm up 1) jojo and kiki are visiting the empire state building. each of them enters a different...
TRANSCRIPT
WARM UP
1) JoJo and Kiki are visiting the Empire State Building. Each of them enters a different elevator in the main lobby that can let them off on any floor from 1 to 3. Assuming that they are as likely to get off at one floor as another, what is the probability that they both get off on the same floor?
2) A family plans to have 2 children. What is the probability that both children will be girls?
3) What is the probability of getting a black jack?
HOMEWORK
4) a) 126/316
b) 5/316
c) 8/316
8) 4 drunks, 4 Jackets
10) 3 patients, 3 samples
12) 10,000 microwaves, recalled ones with last digit of 5, 6, or 7
Section 4.3Counting Rule
An easy way to find total possibilities or the
SAMPLE SPACE
Counting Rule
MULTIPLY
LICENSE PLATES
In Delaware, license plates have seven characters. How many possibilities are there total? What if you could only use numbers? What if you could only use letters? What if you can’t repeat letters? What if you do not have any
restrictions at all?
10·10·10·10·10·10·10=
10,000,000
26·26·26·26·26·26·26=
8,031,810,176
26·25·24·23·22·21·20=
3,315,312,000
36·36·36·36·36·36·36=
7.836 E 10
PASSWORDS
Most internet sites force you to have a password.
If one site requires 8 characters, letters only, how many possibilities are there?
26·26·26·26·26·26·26·26=
2.088 E 11
CELL PHONES How many phone numbers are possible
in Delaware? Are there enough possibilities if
everyone had their own cell phone? (There are about 850,000 people living in Delaware)
1·1·1·8·10·10·10·10·10·10=
8,000,000
(302)…-….
DIGITS How many five digit numbers can be
formed from the digits 2, 4, 5, 6, 7 if the number must be bigger than 50,000 without repetition?
If we allowed repetition, how many possibilities are there?
__ · __ · __ · __ · __
3·4·3·2·1= 72 ways3·5·5·5·5= 1,875 ways
__ · __ · __ · __ · __