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  •  An integer is chosen at random between 1 and 100. Find the probability that it is :  (i) divisible by 8.  (ii) not divisible by 8.     

 An integer is chosen at random between 1 and 100. Find the probability that it is :

 (i) divisible by 8.

 (ii) not divisible by 8. 

 

 

Answers (1)

An integer is chosen at random from 1 to 100 

 Therefore  sample space = n (s) = 100 

 (1) Let A be the event that the number chosen is divisible by 8 

\therefore A = \left \{ 8,16,24,32,40,48,56,64,72,80,88,96 \right \}\\\\ n (A)= 12

Now , P (That number is divisible by 8 )= P ( A ) \frac{n (A)}{n (B)}\\\\ = \frac{12}{100} = \frac{6}{50} \\\\ P(A) = \frac{3}{25}

(2) Let A' be the event that number is not divisible by 8 

P ( A' )= 1- P (A) \\\\ = 1- 3/25 \\\\ P ( A' ) = \frac{22}{25}

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Safeer PP

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