AvinashQ101442 AvinashQ101442
  • 26-10-2022
  • Mathematics
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What is the probability of picking a prime number and then picking a divisor of 32 Write your answer as a percentage .

What is the probability of picking a prime number and then picking a divisor of 32 Write your answer as a percentage class=

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BrisaT136129 BrisaT136129
  • 26-10-2022

The total number = 4 (1,2,3,4)

number of prime numbers= 2 (2,3)

number divisible by 32 = 3, (1,2,4)

[tex]\text{Prb(prime numbes)}=\frac{2}{4}=\frac{1}{2}[/tex][tex]\text{prb(number divisible by 32)=}\frac{3}{4}[/tex]

Hence the probability of picking a prime number and then a number divisible by 32 is

[tex]\frac{1}{2}\times\frac{3}{4}=\frac{3}{8}[/tex]

In percentage we have,

[tex]\frac{3}{8}\times100=\frac{75}{2}[/tex]

37.5%

Hence the probability in percentage is 37.5

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