An integer is chosen at random between 1 and 100. Find the probability that it is divisible by 8. Please give the correct answer as per the board answer key as there is a lot of confusion with the total number of outcomes being 100 or 98.
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Answered by
5
1) We can find total no. of integer between 1 and 100 that are divisible by 8 by using A.P.
So, Series = 8, 16, 24......96a = 8an = 96d = 8
an = a + (n - 1)d
=> 96 = 8 + (n - 1)8
=> 88/8 = n - 1
=> n = 12
So, possible outcome = 12Total no. of outcome = 98p(getting a no. divisible by 8) = 12/98= 6/49
2) Total no. that are not divisible by 8 between 1 and 100 = 98 - 12 = 86
Possible outcome = 86Total no. of outcome = 98
P(getting no. not divisible by 8) = 86/98
= 43/49
Hope this helps....:)
So, Series = 8, 16, 24......96a = 8an = 96d = 8
an = a + (n - 1)d
=> 96 = 8 + (n - 1)8
=> 88/8 = n - 1
=> n = 12
So, possible outcome = 12Total no. of outcome = 98p(getting a no. divisible by 8) = 12/98= 6/49
2) Total no. that are not divisible by 8 between 1 and 100 = 98 - 12 = 86
Possible outcome = 86Total no. of outcome = 98
P(getting no. not divisible by 8) = 86/98
= 43/49
Hope this helps....:)
EvelynXxX:
plz mark as the brainlist
Are you sure it's 98??
I asked the same question bout like 10 times and I'm getting mixed responses. No one knows what's correct
its correct
Look at the answer below
It says 100. That's why. Everyones confused.
Answered by
1
Given:
An integer is chosen between 1 and 100.
Numbers that are divisible by 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88 and 96.
The rest are not divisible by 8.
Calculation:
The integers are 2, 3, 4, 5, 6,..., 99.
The number of possible outcomes = 98 (Excluding 1 and 100)
Therefore,
Sample space, n(S) = 98.
So,
The possibility of the number divisible by 8, n(E) = 12.
To find probability,
By formula,
P(E) = n(E)/n(S)
=12/98
= 6/49
Hence, P(integer divisible by 8) = 6/49
Read more on Brainly.in - https://brainly.in/question/3093245
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