an integer id chosen at random between 1 and 100. find the probability thay is 1) divisible by 8 2) not divisible by 8
Answers
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Here is ur answer..!!
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Step-by-step explanation:
- An integer is chosen between 1 and 100.
- Number of integers between 1 and 100 : 2, 3 , 4, 5, 6,7,8.9,10, .....98
1) Total Number of Possible Outcomes = 98
Then, the numbers which are divisible by 8 : 8,16,24,32,49,48,56,64,72,80,88,96
Number of favourable outcomes = 12
P(E) of numbers divisible by 8 are : Number of favourable outcomes / Total number of possible outcomes.
∴ Probability = 12/98 = 6/49
2)Formula, :
P(E') = 1 - P(E)
Number not divisible by 8 are : 98 -12 = 86
So Probability (not divisible by 8) = 86/98 = 43/49
So answers are : 1) Probability (divisible by 8) = 6/49
And
2) Probability (not divisible by 8) = 43/49
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