Probablity is (desired outcomes)/(total possible)
desired is your tickets: 5
total possible=500
probability is 5/500=1/100=1%
Answer:
Option c is correct
Step-by-step explanation:
From the screenshot I attached.
sinA/a=SinC/c
a/c=SinA/SinC
Thus a=cSinA/SinC
Given that normally distributed data set has a mean of 55 and 99.7% of data fall between 47.5 and 62.5.
Let s be the standard deviation of data set.
Since 99.7% data fall within 3 standard deviations of mean, z-value for 47.5 and 62.5 has an absolute value of 3.
That is |z|=3
But z= 
Let us plugin x=47.5 and mean =55 and equate it to 3.
That is 

Since x is always positive ( being standard deviation), 
Hence 

We will get same value with 62.5 as well.
Hence standard deviation of data set is 2.5.