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# Help 4,5 ​

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Help 4,5

Apr 10, 2018

#1
+100588
+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

Apr 10, 2018
#2
+101055
+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

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

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Apr 10, 2018
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