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Help 4,5

NotSoSmart  Apr 10, 2018
 #1
avatar+89775 
+1

4.  Don't know the answer here, NSS

 

5.   Probability  =  area of smaller circle  / area of larger circle  =

 

pi * (3)^2  /  [ pi * (12)^2 ]   =   9 / 144    =   1 / 16

 

 

 

cool cool cool

CPhill  Apr 10, 2018
 #2
avatar+93608 
+2

4.

The number of ways that you can have 5 cards where three are 4s and the other two are not 4 is

4C3*48C2 = 4*1128= 4512

 

The number of ways you can choose 5 cards from 52 cards is   52C5 = 2598960

 

so the prob you want is    4512/2598960 = 

 

factor(4512) = 2^5*3*47

factor(2598960) = 2^4*3*5*7^2*13*17

 

\(\dfrac{4512}{2598960} = \dfrac{2*47}{5*49*13*17}=\dfrac{94}{54145}​\)

Melody  Apr 10, 2018

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