Two numbers x & y are chosen at random (w | vedclass

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Question

Sample space $=\,^{1000} \mathrm{C}_{2}=500 	imes 999$

$\{1,2,3,4,6, \dots \dots\}$

and $\{5,10,15,20, \dots \dots\}$

first first set select

Vedclass · Accepted Answer

$\frac{679}{999}$

Vedclass · Answer

Sample space $=\,^{1000} \mathrm{C}_{2}=500 	imes 999$

$\{1,2,3,4,6, \dots \dots\}$

and $\{5,10,15,20, \dots \dots\}$

first first set select any two numbers or from

second set select any two numbers $\,^{800} \mathrm{C}_{2}+\,^{200} \mathrm{C}_{2}$

$=400 	imes 799+100 	imes 199=100(3196+199)$

$=3339500$

Two numbers $x$ $\&$ $y$ are chosen at random (without replacement) from the set $\{1, 2, 3, ......, 1000\}$. Then the probability that $|x^4 - y^4|$ is divisible by $5$, is -

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